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Volumn 46, Issue 3, 1997, Pages 247-266

Oscillations and Convergence in an Almost Periodic Competition System

Author keywords

Almost periodicity; Competition; Oscillations

Indexed keywords


EID: 0001324831     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1005756425201     Document Type: Article
Times cited : (29)

References (80)
  • 1
    • 0041786432 scopus 로고
    • Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations
    • Ahmed, S.: 1987, Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations, J. Math. Anal. Appl. 127, 377-387.
    • (1987) J. Math. Anal. Appl. , vol.127 , pp. 377-387
    • Ahmed, S.1
  • 2
    • 0000489739 scopus 로고
    • On almost periodic solutions of the competing species problems
    • Ahmed, S.: 1988, On almost periodic solutions of the competing species problems, Proc. Amer. Math. Soc. 102, 855-861.
    • (1988) Proc. Amer. Math. Soc. , vol.102 , pp. 855-861
    • Ahmed, S.1
  • 3
    • 0001761074 scopus 로고
    • An application of topological degree to the periodic competing species problem
    • Alvarez, C. and Lazer, A. C.: 1986, An application of topological degree to the periodic competing species problem, J. Austral. Math. Soc. Ser. B 28, 202-219.
    • (1986) J. Austral. Math. Soc. Ser. B , vol.28 , pp. 202-219
    • Alvarez, C.1    Lazer, A.C.2
  • 4
    • 0015386757 scopus 로고
    • Stability and transient behaviour of composite systems
    • Araki, M. and Kondo, B.: 1972, Stability and transient behaviour of composite systems, IEEE Trans. Automat. Contr. AC-17, 537-541.
    • (1972) IEEE Trans. Automat. Contr. , vol.AC-17 , pp. 537-541
    • Araki, M.1    Kondo, B.2
  • 5
    • 84974081729 scopus 로고
    • Periodic solutions of functional differential equations
    • Arino, O., Burton, T. A. and Haddock, J.: 1985, Periodic solutions of functional differential equations, Roy. Soc. Edinburgh, Proc. A 101, 253-271.
    • (1985) Roy. Soc. Edinburgh, Proc. A , vol.101 , pp. 253-271
    • Arino, O.1    Burton, T.A.2    Haddock, J.3
  • 6
    • 0001188059 scopus 로고
    • Competitive exclusion
    • Armstrong, R. A. and McGhee, R.: 1980, Competitive exclusion, Amer. Natur. 115, 151-170
    • (1980) Amer. Natur. , vol.115 , pp. 151-170
    • Armstrong, R.A.1    McGhee, R.2
  • 7
    • 0000059924 scopus 로고
    • Reproductive strategies: Food availability as a source of proximal variation in a lizard
    • Ballinger, R. E.: 1977, Reproductive strategies: Food availability as a source of proximal variation in a lizard, Ecology 58, 628-635.
    • (1977) Ecology , vol.58 , pp. 628-635
    • Ballinger, R.E.1
  • 8
    • 0001274382 scopus 로고
    • Systemes d'equations differentielle d'oscillations nonlineaires
    • Barbalat, I.: 1959, Systemes d'equations differentielle d'oscillations nonlineaires, Rev. Roumaine Math. Pures Appl. 4, 267-270.
    • (1959) Rev. Roumaine Math. Pures Appl. , vol.4 , pp. 267-270
    • Barbalat, I.1
  • 12
    • 0039812053 scopus 로고
    • Correlation and spectral analyses of the dynamics of a controlled rotifer population
    • Beutler, K. J., Wissel, C., and Halbach, U.: 1981, Correlation and spectral analyses of the dynamics of a controlled rotifer population, Quant. Population Dynam. 13, 61-82.
    • (1981) Quant. Population Dynam. , vol.13 , pp. 61-82
    • Beutler, K.J.1    Wissel, C.2    Halbach, U.3
  • 13
    • 0002022539 scopus 로고
    • Population tracking of fluctuating environments and natural selection for tracking ability
    • Boyce, M. S. and Daley, D. J.: 1980, Population tracking of fluctuating environments and natural selection for tracking ability, Amer. Natur. 115, 480-491.
    • (1980) Amer. Natur. , vol.115 , pp. 480-491
    • Boyce, M.S.1    Daley, D.J.2
  • 15
    • 0001453657 scopus 로고
    • Time lag in population growth response of Isochrysis Galbana to a variable nitrate environment
    • Caperon, J.: 1969, Time lag in population growth response of Isochrysis Galbana to a variable nitrate environment, Ecology 50, 188-192.
    • (1969) Ecology , vol.50 , pp. 188-192
    • Caperon, J.1
  • 16
    • 0015314276 scopus 로고
    • A simulation study of a time lag population model
    • Caswell, H.: 1974, A simulation study of a time lag population model, J. Theoret. Biol. 34, 419-439.
    • (1974) J. Theoret. Biol. , vol.34 , pp. 419-439
    • Caswell, H.1
  • 17
    • 0018292942 scopus 로고
    • Nonautonomous logistic equations as model of the adjustment of populations to environmental change
    • Coleman, B. D.: 1979, Nonautonomous logistic equations as model of the adjustment of populations to environmental change, Math. Biosci. 45, 159-173.
    • (1979) Math. Biosci. , vol.45 , pp. 159-173
    • Coleman, B.D.1
  • 18
    • 0018701382 scopus 로고
    • On the optimal choice of r for a population in a periodic environment
    • Coleman, B. D., Hsieh, Y.-H., and Knowles, G. P.: 1979, On the optimal choice of r for a population in a periodic environment, Math. Biosci. 46, 71-85.
    • (1979) Math. Biosci. , vol.46 , pp. 71-85
    • Coleman, B.D.1    Hsieh, Y.-H.2    Knowles, G.P.3
  • 20
    • 38249039857 scopus 로고
    • Oscillatory population growth in periodic environments
    • Cushing, J. M.: 1986, Oscillatory population growth in periodic environments, Theoret. Population. Biol. 30, 289-308.
    • (1986) Theoret. Population. Biol. , vol.30 , pp. 289-308
    • Cushing, J.M.1
  • 22
    • 0019495964 scopus 로고
    • Competition systems with periodic coefficients: A geometric approach
    • de Mottoni, P. and Schiaffino, A.: 1981, Competition systems with periodic coefficients: A geometric approach, J. Math. Biol. 11, 319-335.
    • (1981) J. Math. Biol. , vol.11 , pp. 319-335
    • De Mottoni, P.1    Schiaffino, A.2
  • 24
    • 0000665747 scopus 로고
    • Reducibilité des systèmes dynamiques
    • Fargue, D. M.: 1973, Reducibilité des systèmes dynamiques, C.R. Acad. Sci. Paris, Ser. B 277, 471-473.
    • (1973) C.R. Acad. Sci. Paris, Ser. B , vol.277 , pp. 471-473
    • Fargue, D.M.1
  • 25
    • 2342540856 scopus 로고
    • Lecture Notes in Math., Springer, Berlin.
    • Fink, A. M.: 1974, Almost Periodic Functions, Lecture Notes in Math., Springer, Berlin.
    • (1974) Almost Periodic Functions
    • Fink, A.M.1
  • 26
    • 0001459814 scopus 로고
    • Periodic solutions of single species models with periodic delay
    • Freedman, H. I. and Wu, Jianghong: 1982, Periodic solutions of single species models with periodic delay, SIAM J. Math. Anal. 23, 689-701.
    • (1982) SIAM J. Math. Anal. , vol.23 , pp. 689-701
    • Freedman, H.I.1    Wu, J.2
  • 27
    • 0006984133 scopus 로고
    • Exchange of equilibria in two species Lotka-Volterra competition models
    • Gopalsamy, K.: 1982, Exchange of equilibria in two species Lotka-Volterra competition models, J. Austral. Math. Soc. Ser. B 24, 160-170.
    • (1982) J. Austral. Math. Soc. Ser. B , vol.24 , pp. 160-170
    • Gopalsamy, K.1
  • 28
    • 0021675160 scopus 로고
    • Persistence in periodic and almost periodic Lotka-Volterra systems
    • Gopalsamy, K.: 1984a, Persistence in periodic and almost periodic Lotka-Volterra systems, J. Math. Biol. 21, 145-148.
    • (1984) J. Math. Biol. , vol.21 , pp. 145-148
    • Gopalsamy, K.1
  • 29
    • 0011451436 scopus 로고
    • Harmless delays in a periodic ecosystem
    • Gopalsamy, K.: 1984b, Harmless delays in a periodic ecosystem, J. Austral. Math. Soc. Ser. B 25, 349-365.
    • (1984) J. Austral. Math. Soc. Ser. B , vol.25 , pp. 349-365
    • Gopalsamy, K.1
  • 30
    • 84972555263 scopus 로고
    • Global asymptotic stability is a periodic integrodifferential system
    • Gopalsamy, K.: 1985a, Global asymptotic stability is a periodic integrodifferential system, Tohoku Math. J. 37, 323-332.
    • (1985) Tohoku Math. J. , vol.37 , pp. 323-332
    • Gopalsamy, K.1
  • 31
    • 0002552405 scopus 로고
    • Global asymptotic stability in a periodic Lotka-Volterra system
    • Gopalsamy, K.: 1985b, Global asymptotic stability in a periodic Lotka-Volterra system, J. Austral. Math. Soc. Ser. B 27, 66-72.
    • (1985) J. Austral. Math. Soc. Ser. B , vol.27 , pp. 66-72
    • Gopalsamy, K.1
  • 32
    • 0002552406 scopus 로고
    • Global asymptotic stability in an almost periodic Lotka-Volterra system
    • Gopalsamy, K.: 1986, Global asymptotic stability in an almost periodic Lotka-Volterra system, J. Austral. Math. Soc. Ser. B 27, 346-360.
    • (1986) J. Austral. Math. Soc. Ser. B , vol.27 , pp. 346-360
    • Gopalsamy, K.1
  • 33
    • 0025383910 scopus 로고
    • Oscillations of a system of delay logistic equations
    • Gopalsamy, K., Kulenovic, M. R. S., and Ladas, G.: 1990, Oscillations of a system of delay logistic equations, J. Math. Anal. Appl. 146, 192-202.
    • (1990) J. Math. Anal. Appl. , vol.146 , pp. 192-202
    • Gopalsamy, K.1    Kulenovic, M.R.S.2    Ladas, G.3
  • 35
    • 0003257944 scopus 로고
    • Life table data and population dynamics of the rotifer Brachionus Calyciflorus Pallas as influenced by periodically oscillating temperature
    • W. Wieser (ed.), Springer, Heidelberg
    • Halbach, U.: 1973, Life table data and population dynamics of the rotifer Brachionus Calyciflorus Pallas as influenced by periodically oscillating temperature, in: W. Wieser (ed.), Effects of Temperature on Ectothermic Organisms, Springer, Heidelberg, pp. 217-228.
    • (1973) Effects of Temperature on Ectothermic Organisms , pp. 217-228
    • Halbach, U.1
  • 37
    • 0003346959 scopus 로고
    • Theory of Functional Differential Equations
    • Springer, New York
    • Hale, J. K.: 1977, Theory of Functional Differential Equations, Appl. Math. Sci. Vol. 7. Springer, New York.
    • (1977) Appl. Math. Sci. , vol.7
    • Hale, J.K.1
  • 38
    • 0019845154 scopus 로고
    • Nonautonomous logistic equations as models of populations in a deteriorating enviroment
    • Hallam, T. G. and Clark, C. E.: 1981, Nonautonomous logistic equations as models of populations in a deteriorating enviroment, J. Theoret. Biol. 93, 303-311.
    • (1981) J. Theoret. Biol. , vol.93 , pp. 303-311
    • Hallam, T.G.1    Clark, C.E.2
  • 39
    • 84972559795 scopus 로고
    • Periodic solutions of nonlinear integrodifferential equations
    • Hamaya, Y.: 1989, Periodic solutions of nonlinear integrodifferential equations, Tohoku Math. J. 41, 105-116.
    • (1989) Tohoku Math. J. , vol.41 , pp. 105-116
    • Hamaya, Y.1
  • 40
    • 0021564256 scopus 로고
    • Evolution in a seasonal environment: Simplicity lost?
    • Hastings, A.: 1984, Evolution in a seasonal environment: Simplicity lost?, Evolution 38, 350-358.
    • (1984) Evolution , vol.38 , pp. 350-358
    • Hastings, A.1
  • 41
    • 33645084765 scopus 로고
    • Circular causal systems in ecology
    • Hutchinson, G. E.: 1948, Circular causal systems in ecology, Ann. New York Acad. Sci. 50, 221-246.
    • (1948) Ann. New York Acad. Sci. , vol.50 , pp. 221-246
    • Hutchinson, G.E.1
  • 42
    • 2342653967 scopus 로고
    • The effect of seasonal variations to the delay population equation
    • Karakostas, G.: 1982, The effect of seasonal variations to the delay population equation, Nonlinear Anal. 6, 1143-1154.
    • (1982) Nonlinear Anal. , vol.6 , pp. 1143-1154
    • Karakostas, G.1
  • 43
    • 33847579397 scopus 로고
    • Insect populations respond to fluctuating environments
    • Jilson, D. A.: 1980, Insect populations respond to fluctuating environments, Nature 288, 699-700.
    • (1980) Nature , vol.288 , pp. 699-700
    • Jilson, D.A.1
  • 44
    • 0001480435 scopus 로고
    • Oscillating and monotone solutions of first order differential equations with deviating argument
    • Koplatadze, R. G. and Chanturiya, T. A.: 1982, Oscillating and monotone solutions of first order differential equations with deviating argument, Differentsial'nye Uravneniya 18, 1463-1465.
    • (1982) Differentsial'nye Uravneniya , vol.18 , pp. 1463-1465
    • Koplatadze, R.G.1    Chanturiya, T.A.2
  • 52
    • 0348134556 scopus 로고
    • Some mathematical problems concerning the ecological principle of competitive exclusion
    • McGhee, R. and Armstrong, R. A.: 1977, Some mathematical problems concerning the ecological principle of competitive exclusion, J. Differential Equations 21, 50-73.
    • (1977) J. Differential Equations , vol.21 , pp. 50-73
    • McGhee, R.1    Armstrong, R.A.2
  • 53
    • 84972551915 scopus 로고
    • Almost periodic solutions of a system of integrodifferential equations
    • Murakami, S.: 1987, Almost periodic solutions of a system of integrodifferential equations, Tohoku Math. J. 39, 71-79.
    • (1987) Tohoku Math. J. , vol.39 , pp. 71-79
    • Murakami, S.1
  • 54
    • 0000299199 scopus 로고
    • Competitive co-existence in a seasonally fluctuating environment
    • Namba, T.: 1984, Competitive co-existence in a seasonally fluctuating environment, J. Theoret. Biol. 111, 369-386.
    • (1984) J. Theoret. Biol. , vol.111 , pp. 369-386
    • Namba, T.1
  • 55
    • 84970556051 scopus 로고
    • An outline of the dynamics of animal populations
    • Nicholson, A. J.: 1954, An outline of the dynamics of animal populations, Austral. J. Zool. 2, 9-65.
    • (1954) Austral. J. Zool. , vol.2 , pp. 9-65
    • Nicholson, A.J.1
  • 57
    • 0017083003 scopus 로고
    • Population dynamics in a periodically varying environment
    • Nisbet, R. M. and Gurney, W. S. C.: 1976, Population dynamics in a periodically varying environment, J. Theoret. Biol. 56, 459-475.
    • (1976) J. Theoret. Biol. , vol.56 , pp. 459-475
    • Nisbet, R.M.1    Gurney, W.S.C.2
  • 60
    • 0018830042 scopus 로고
    • Population models in a periodically fluctuating environment
    • Rosenblatt, S.: 1980, Population models in a periodically fluctuating environment, J. Math. Biol. 9, 23-36.
    • (1980) J. Math. Biol. , vol.9 , pp. 23-36
    • Rosenblatt, S.1
  • 61
    • 0001293128 scopus 로고
    • Population dynamics in a spatially varying environment: How population size 'tracks' spatial variation in carrying capacity
    • Roughgarden, J.: 1974, Population dynamics in a spatially varying environment: How population size 'tracks' spatial variation in carrying capacity, Amer. Natur. 108, 649-664.
    • (1974) Amer. Natur. , vol.108 , pp. 649-664
    • Roughgarden, J.1
  • 65
    • 0012075905 scopus 로고
    • Almost periodic solutions for delay differential equations with infinite delays
    • Seifert, G.: 1981a, Almost periodic solutions for delay differential equations with infinite delays, J. Differential Equations 41, 416-425.
    • (1981) J. Differential Equations , vol.41 , pp. 416-425
    • Seifert, G.1
  • 66
    • 0343708730 scopus 로고
    • Almost periodic solutions for single species population equations with infinite delays
    • Busenberg and Cooke (eds), Academic Press
    • Seifert, G.: 1981b, Almost periodic solutions for single species population equations with infinite delays, in: Busenberg and Cooke (eds), Differential Equations and Applications in Ecology, Epidemics, and Population Problems, Academic Press, pp. 203-214.
    • (1981) Differential Equations and Applications in Ecology, Epidemics, and Population Problems , pp. 203-214
    • Seifert, G.1
  • 67
    • 0000621116 scopus 로고
    • Time delays and chaos in two competing species
    • Shibata, A. and Saito, N.: 1980, Time delays and chaos in two competing species, Math. Biosci. 51, 199-211.
    • (1980) Math. Biosci. , vol.51 , pp. 199-211
    • Shibata, A.1    Saito, N.2
  • 68
    • 0002781048 scopus 로고
    • Quantitative aspects of population growth
    • E. J. Boell (ed.), Princeton Univ. Press, Princeton, NJ
    • Smith, F. E.: 1954, Quantitative aspects of population growth, in: E. J. Boell (ed.), Dynamic of Growth Processes, Princeton Univ. Press, Princeton, NJ.
    • (1954) Dynamic of Growth Processes
    • Smith, F.E.1
  • 69
    • 0018583536 scopus 로고
    • On a conjecture about the periodic solutions of the logistic equation
    • Sonneveld, P. and Van Kan, J.: 1979, On a conjecture about the periodic solutions of the logistic equation, J. Math. Biol. 8, 285-289.
    • (1979) J. Math. Biol. , vol.8 , pp. 285-289
    • Sonneveld, P.1    Van Kan, J.2
  • 71
    • 0024337215 scopus 로고
    • A nonautonomous model of population growth
    • Vance, R. R. and Coddington, E. A.: 1989, A nonautonomous model of population growth, J. Math. Biol. 27, 491-506.
    • (1989) J. Math. Biol. , vol.27 , pp. 491-506
    • Vance, R.R.1    Coddington, E.A.2
  • 72
    • 38249020644 scopus 로고
    • Population growth in a time varying environment
    • Vance, R. R.: 1990, Population growth in a time varying environment, Theoret. Population Biol. 37, 438-454.
    • (1990) Theoret. Population Biol. , vol.37 , pp. 438-454
    • Vance, R.R.1
  • 76
    • 0003248782 scopus 로고
    • Stability Theory and the Existence of Periodic Solutions and almost Periodic Solutions
    • Springer, New York
    • Yoshizawa, T.: 1975, Stability Theory and the Existence of Periodic Solutions and almost Periodic Solutions, Appl. Math. Sci. Vol 14, Springer, New York.
    • (1975) Appl. Math. Sci. , vol.14
    • Yoshizawa, T.1
  • 77
    • 0001603769 scopus 로고
    • Oscillation and nonoscillation in a nonautonomous delay logistic equation
    • Zhang, B. G. and Gopalsamy, K.: 1988, Oscillation and nonoscillation in a nonautonomous delay logistic equation, Quart. Appl. Math. XLVI, 267-273.
    • (1988) Quart. Appl. Math. , vol.46 , pp. 267-273
    • Zhang, B.G.1    Gopalsamy, K.2
  • 78
    • 0001828205 scopus 로고
    • Global attractivity and oscillations in a periodic delay logistic equation
    • Zhang, B. G. and Gopalsamy, K.: 1990a, Global attractivity and oscillations in a periodic delay logistic equation, J. Math. Anal. Appl. 150, 274-283.
    • (1990) J. Math. Anal. Appl. , vol.150 , pp. 274-283
    • Zhang, B.G.1    Gopalsamy, K.2
  • 79
    • 0000777461 scopus 로고
    • Global attractivity in the delay logistic equation with variable parameters
    • Zhang, B. G. and Gopalsamy, K.: 1990b, Global attractivity in the delay logistic equation with variable parameters, Math. Proc. Comb. Phil. Soc. 107, 579-590.
    • (1990) Math. Proc. Comb. Phil. Soc. , vol.107 , pp. 579-590
    • Zhang, B.G.1    Gopalsamy, K.2
  • 80
    • 2342645926 scopus 로고
    • Stability of large scale neutral differential systems
    • Zhang, Yi: 1988, Stability of large scale neutral differential systems, Sci. Sinica (Series A) 31, 1292-1304.
    • (1988) Sci. Sinica (Series A) , vol.31 , pp. 1292-1304
    • Zhang, Y.1


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