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Volumn 10, Issue 3, 2002, Pages 225-232

Persistence and global stability of a population in a polluted environment with delay

Author keywords

Persistence; Pollution; Single species; Stability

Indexed keywords


EID: 0142068544     PISSN: 02183390     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021833900200055X     Document Type: Article
Times cited : (39)

References (23)
  • 1
    • 0001274382 scopus 로고
    • Systems d'equations differentielle d'oscillations non lineaires
    • Barbalat I., Systems d'equations differentielle d'oscillations non lineaires, Rev. Roumaine. Math. Pures. Appl. 4 (1959) pp. 267-270.
    • (1959) Rev. Roumaine. Math. Pures. Appl. , vol.4 , pp. 267-270
    • Barbalat, I.1
  • 2
    • 0032936157 scopus 로고    scopus 로고
    • A diffusive connective model of the dynamics of population-toxicant interactions: Some analytical and numerical results
    • Buonomo B., Liddo A. D. and Sgura I., A diffusive connective model of the dynamics of population-toxicant interactions: Some analytical and numerical results, Math. Biosci. 157 (1999) pp. 37-64.
    • (1999) Math. Biosci. , vol.157 , pp. 37-64
    • Buonomo, B.1    Liddo, A.D.2    Sgura, I.3
  • 4
    • 0023516230 scopus 로고
    • Effects of toxicants on population: A qualitative approach. IV. Resource-consumer-toxicant models
    • De Luna J. T. and Hallam T. G., Effects of toxicants on population: A qualitative approach. IV. Resource-consumer-toxicant models, Ecol. Model. 35 (1987) pp. 249-273.
    • (1987) Ecol. Model. , vol.35 , pp. 249-273
    • De Luna, J.T.1    Hallam, T.G.2
  • 5
    • 0031526464 scopus 로고    scopus 로고
    • Modelling the effect of toxicant on forestry resources
    • Dubey B., Modelling the effect of toxicant on forestry resources, Indian J. Pure Appl. Math. 28 (1997) pp. 1-12.
    • (1997) Indian J. Pure Appl. Math. , vol.28 , pp. 1-12
    • Dubey, B.1
  • 6
    • 0034732851 scopus 로고    scopus 로고
    • A model for the alleopathic effect of two competing species
    • Dubey B. and Hussain J., A model for the alleopathic effect of two competing species, Ecol. Model. 129 (2000) pp. 195-207.
    • (2000) Ecol. Model. , vol.129 , pp. 195-207
    • Dubey, B.1    Hussain, J.2
  • 7
    • 0034196082 scopus 로고    scopus 로고
    • Modeling the interaction of two biological species in a polluted environment
    • Dubey B. and Hussain J., Modeling the interaction of two biological species in a polluted environment, J. Math. Anal. Appl. 246 (2000) pp. 58-79.
    • (2000) J. Math. Anal. Appl. , vol.246 , pp. 58-79
    • Dubey, B.1    Hussain, J.2
  • 8
    • 0010737593 scopus 로고    scopus 로고
    • Models for the survival of species dependent on resource in industrial environments
    • Dubey B. and Das B., Models for the survival of species dependent on resource in industrial environments, J. Math. Anal. Appl. 231 (1999) pp. 374-396.
    • (1999) J. Math. Anal. Appl. , vol.231 , pp. 374-396
    • Dubey, B.1    Das, B.2
  • 10
    • 0026276304 scopus 로고
    • Models for the effect of toxicant in single-species and predator-prey systems
    • Freedman H. I. and Shukla J. B., Models for the effect of toxicant in single-species and predator-prey systems, J. Math. Biol. 30 (1991) pp. 15-30.
    • (1991) J. Math. Biol. , vol.30 , pp. 15-30
    • Freedman, H.I.1    Shukla, J.B.2
  • 11
    • 0020959624 scopus 로고
    • Effects of toxicant on populations: A qualitative approach. II. First order kinetics
    • Hallam T. G., Clark C. E. and Jordan G. S., Effects of toxicant on populations: A qualitative approach. II. First order kinetics, J. Math. Biol. 18 (1983) pp. 25-37.
    • (1983) J. Math. Biol. , vol.18 , pp. 25-37
    • Hallam, T.G.1    Clark, C.E.2    Jordan, G.S.3
  • 12
    • 0020571184 scopus 로고
    • Effects of toxicants on populations: A qualitative approach. I. Equilibrium environment exposure
    • Hallam T. G., Clark C. E. and Lassiter R. R., Effects of toxicants on populations: A qualitative approach. I. Equilibrium environment exposure, Ecol. Model 18 (1983) pp. 291-304.
    • (1983) Ecol. Model , vol.18 , pp. 291-304
    • Hallam, T.G.1    Clark, C.E.2    Lassiter, R.R.3
  • 13
    • 0021217861 scopus 로고
    • Effects of toxicants on populations: A qualitative approach. III. Environmental and food chain pathways
    • Hallam T. G. and De Luna J. T., Effects of toxicants on populations: A qualitative approach. III. Environmental and food chain pathways, J. Theoret. Biol. 199 (1984) pp. 411-429.
    • (1984) J. Theoret. Biol. , vol.199 , pp. 411-429
    • Hallam, T.G.1    De Luna, J.T.2
  • 14
    • 0022918323 scopus 로고
    • Persistence in population models with demographic fluctuations
    • Hallam T. G. and Ma Zhien, Persistence in population models with demographic fluctuations, J. Math. Biol. 24 (1986) pp. 327-339.
    • (1986) J. Math. Biol. , vol.24 , pp. 327-339
    • Hallam, T.G.1    Ma, Z.2
  • 15
    • 0019543376 scopus 로고
    • Application of predator-prey models to disinfection
    • Hass C. N., Application of predator-prey models to disinfection, J. Water Pollut. Contr. Fed 53 (1981) pp. 378-386.
    • (1981) J. Water Pollut. Contr. Fed , vol.53 , pp. 378-386
    • Hass, C.N.1
  • 16
    • 0000823171 scopus 로고    scopus 로고
    • Competition in the chemostat when one competitor produces a toxin
    • Hsu S. B. and Waltman P., Competition in the chemostat when one competitor produces a toxin, Japan J. 2nd. Appl. Math. 15 (1998) pp. 471-490.
    • (1998) Japan J. 2nd. Appl. Math. , vol.15 , pp. 471-490
    • Hsu, S.B.1    Waltman, P.2
  • 17
    • 0020467741 scopus 로고
    • Application of surplus production model to assess environmental impacts in exploited populations of Daphnia pluex in the laboratory
    • Jenson A. L. and Marshall J. S., Application of surplus production model to assess environmental impacts in exploited populations of Daphnia pluex in the laboratory, Environ. Pollut. (Ser A) 28 (1982) pp. 273-280.
    • (1982) Environ. Pollut. (Ser A) , vol.28 , pp. 273-280
    • Jenson, A.L.1    Marshall, J.S.2
  • 19
    • 0001531606 scopus 로고
    • The problem of oil pollution of the sea
    • Academic Press, London
    • Nelson S. A., The problem of oil pollution of the sea. In Advances in Marine Biology (Academic Press, London, 1970).
    • (1970) Advances in Marine Biology
    • Nelson, S.A.1
  • 21
    • 0000342741 scopus 로고    scopus 로고
    • Simultaneous effect of two toxicants on biological species: A mathematical model
    • Shukla J. B. and Dubey B., Simultaneous effect of two toxicants on biological species: A mathematical model, J. Biol. Systems 4 (1996) pp. 109-130.
    • (1996) J. Biol. Systems , vol.4 , pp. 109-130
    • Shukla, J.B.1    Dubey, B.2
  • 22
    • 33746783474 scopus 로고    scopus 로고
    • Modeling the depletion and conservation of forestry resources effect of population and pollution
    • Shukla J. B. and Dubey B., Modeling the depletion and conservation of forestry resources effect of population and pollution, J. Math. Biol. 36 (1997) pp. 71-94.
    • (1997) J. Math. Biol. , vol.36 , pp. 71-94
    • Shukla, J.B.1    Dubey, B.2
  • 23
    • 0029911718 scopus 로고    scopus 로고
    • A control problem in a polluted environment
    • Thomas D. M., Snell T. W. and Joffer S. M., A control problem in a polluted environment, Math. Biosci. 133 (1996) pp. 139-163.
    • (1996) Math. Biosci. , vol.133 , pp. 139-163
    • Thomas, D.M.1    Snell, T.W.2    Joffer, S.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.