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Volumn 9, Issue 1, 2003, Pages 149-159

Global asymptotic behavior of a two-dimensional system of difference equations modeling cooperation

Author keywords

Asymptotic behavior; Monotonicity; Stability; Stable manifold

Indexed keywords


EID: 0037240568     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/1023619031000060981     Document Type: Article
Times cited : (18)

References (14)
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    • On a coupled system of rational difference equations
    • in press
    • D. Clark and M. R. S. Kulenović, On a coupled system of rational difference equations, Comput. Math. Appl., (2002), in press.
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  • 2
    • 0012721463 scopus 로고    scopus 로고
    • Global asymptotic behavior of a two-dimensional difference equation modelling competition
    • To appear
    • D. Clark, M.R.S. Kulenović and J.F. Selgrade, Global Asymptotic Behavior of a Two-Dimensional Difference Equation Modelling Competition, Nonlin. Anal. TMA, (2002), To appear.
    • (2002) Nonlin. Anal. TMA
    • Clark, D.1    Kulenović, M.R.S.2    Selgrade, J.F.3
  • 3
    • 0003981716 scopus 로고    scopus 로고
    • Chapman & Hall/CRC Press, Boca Raton, FL
    • S. Elaydi, Discrete Chaos, Chapman & Hall/CRC Press, Boca Raton, FL, 2000.
    • (2000) Discrete Chaos
    • Elaydi, S.1
  • 4
    • 0000994589 scopus 로고
    • Mutual exclusion verses coexistence for discrete competitive systems
    • J.E. Franke and A.-A. Yakubu, Mutual exclusion verses coexistence for discrete competitive systems, J. Math. Biol., 30 (1991), 161-168.
    • (1991) J. Math. Biol. , vol.30 , pp. 161-168
    • Franke, J.E.1    Yakubu, A.-A.2
  • 5
    • 38249007755 scopus 로고
    • Geometry of exclusion principles in discrete systems
    • J. E. Franke and A.-A. Yakubu, Geometry of exclusion principles in discrete systems, J. Math. Anal. Appl., 168 (1992), 385-400.
    • (1992) J. Math. Anal. Appl. , vol.168 , pp. 385-400
    • Franke, J.E.1    Yakubu, A.-A.2
  • 7
    • 0016947226 scopus 로고
    • Discrete time models for two-species competition
    • M. P. Hassell and H. N. Comins, Discrete time models for two-species competition, Theor. Popul. Biol., 9 (1976), 202-221.
    • (1976) Theor. Popul. Biol. , vol.9 , pp. 202-221
    • Hassell, M.P.1    Comins, H.N.2
  • 9
    • 0001641843 scopus 로고
    • On an abstract competition model and applications
    • P. Hess and A. C. Lazer, On an abstract competition model and applications, Nonlinear Anal., TMA 16 (1991), 917-940.
    • (1991) Nonlinear Anal., TMA , vol.16 , pp. 917-940
    • Hess, P.1    Lazer, A.C.2
  • 11
    • 0033192703 scopus 로고    scopus 로고
    • Permanence and global attractivity for Lotka-Volterra difference systems
    • Z. Lu, Permanence and global attractivity for Lotka-Volterra difference systems, J. Math. Biol., 39 (1999), 269-282.
    • (1999) J. Math. Biol. , vol.39 , pp. 269-282
    • Lu, Z.1
  • 12
    • 0012681073 scopus 로고    scopus 로고
    • Stability, symbolic dynamics, and chaos
    • CRC Press, Boca Raton
    • C. Robinson, Stability, Symbolic Dynamics, and Chaos, CRC Press, Boca Raton, 1995.
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    • Robinson, C.1
  • 13
    • 0023477339 scopus 로고
    • Convergence to equilibrium in a genetic model with differential viability between the sexes
    • J.F. Selgrade and M. Ziehe, Convergence to equilibrium in a genetic model with differential viability between the sexes, J. Math. Biol., 25 (1987), 477-490.
    • (1987) J. Math. Biol. , vol.25 , pp. 477-490
    • Selgrade, J.F.1    Ziehe, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.