메뉴 건너뛰기




Volumn 34, Issue 3, 1996, Pages 297-333

A predator-prey reaction-diffusion system with nonlocal effects

Author keywords

Predator prey; Reaction diffusion; Time delay bifurcation pattern formation

Indexed keywords


EID: 0012189671     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/BF00160498     Document Type: Article
Times cited : (169)

References (17)
  • 1
    • 0024965270 scopus 로고
    • Aggregation and the Competitive Exclusion Principle
    • Britton, N. F.: Aggregation and the Competitive Exclusion Principle. J. Theor. Biol. 136, 57-66 (1989)
    • (1989) J. Theor. Biol. , vol.136 , pp. 57-66
    • Britton, N.F.1
  • 2
    • 0025545718 scopus 로고
    • Spatial Structures and Periodic Travelling Waves in an Integrodifferential Reaction-Diffusion Population Model
    • Britton, N. F.: Spatial Structures and Periodic Travelling Waves in an Integrodifferential Reaction-Diffusion Population Model. SIAM J. Appl. Math. 50, 1663-1688 (1990)
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1663-1688
    • Britton, N.F.1
  • 3
    • 0028516195 scopus 로고
    • Turing Instability in Competition Models with Delay I: Linear Theory
    • Choudhury, S. R.: Turing Instability in Competition Models with Delay I: Linear Theory. SIAM. J. Appl. Math. 54, No. 5, 1425-1450 (1994a)
    • (1994) SIAM. J. Appl. Math. , vol.54 , Issue.5 , pp. 1425-1450
    • Choudhury, S.R.1
  • 4
    • 0028518446 scopus 로고
    • Analysis of Spatial Structure in a Predator-Prey Model with Delay II: Nonlinear Theory
    • Choudhury, S. R.: Analysis of Spatial Structure in a Predator-Prey Model with Delay II: Nonlinear Theory. SIAM. J. Appl. Math. 54, No. 5, 1451-1467 (1994b)
    • (1994) SIAM. J. Appl. Math. , vol.54 , Issue.5 , pp. 1451-1467
    • Choudhury, S.R.1
  • 6
    • 33747207298 scopus 로고
    • A Lotka-Volterra's System of Reaction-Diffusion Equations with Time Lag in Ecology
    • Ding, C. W.: A Lotka-Volterra's System of Reaction-Diffusion Equations with Time Lag in Ecology. Ann. of Diff. Eqns. 5, 129-143 (1989)
    • (1989) Ann. of Diff. Eqns. , vol.5 , pp. 129-143
    • Ding, C.W.1
  • 10
    • 0000239001 scopus 로고
    • Permanence and Global Attractivity for Competitive Lotka-Volterra Systems with Delay
    • Lu, Z., Takeuchi, Y.: Permanence and Global Attractivity for Competitive Lotka-Volterra Systems with Delay. Nonlinear Analysis, Theory, Methods & Applications. 22, No. 7, 847-856 (1994)
    • (1994) Nonlinear Analysis, Theory, Methods & Applications. , vol.22 , Issue.7 , pp. 847-856
    • Lu, Z.1    Takeuchi, Y.2
  • 12
    • 0001249569 scopus 로고
    • Time-Delay versus Stability in Population Models with Two and Three Trophic Levels
    • May, R. M.: Time-Delay versus Stability in Population Models with Two and Three Trophic Levels. Ecology 54, 315-325 (1973)
    • (1973) Ecology , vol.54 , pp. 315-325
    • May, R.M.1
  • 13
    • 0020476941 scopus 로고
    • Parameter Space for Turing Instability in Reaction-Diffusion Mechanisms: A Comparison of Models
    • Murray, J. D.: Parameter Space for Turing Instability in Reaction-Diffusion Mechanisms: A Comparison of Models. J. Theor. Biol. 98, 143-163 (1982)
    • (1982) J. Theor. Biol. , vol.98 , pp. 143-163
    • Murray, J.D.1
  • 14
    • 0022854743 scopus 로고
    • Dynamical Aspects of Animal Grouping: Swarms, Schools, Flocks and Herds
    • Okubo, A.: Dynamical Aspects of Animal Grouping: Swarms, Schools, Flocks and Herds. Adv. Biophys. 22, 1-94 (1986)
    • (1986) Adv. Biophys. , vol.22 , pp. 1-94
    • Okubo, A.1
  • 15
    • 0007144363 scopus 로고
    • Some Conditions for Global Asymptotic Stability of Equilibria of Integro-differential Equations
    • Pozio, M. A.: Some Conditions for Global Asymptotic Stability of Equilibria of Integro-differential Equations. J. Math. Anal. & Applications. 95, 501-527 (1983)
    • (1983) J. Math. Anal. & Applications. , vol.95 , pp. 501-527
    • Pozio, M.A.1
  • 17
    • 0000259866 scopus 로고
    • Asymptotic Stability for Some Systems of Semilinear Volterra Diffusion Equations
    • Yamada, Y.: Asymptotic Stability for Some Systems of Semilinear Volterra Diffusion Equations. J. Diff. Eqns. 52, 295-326 (1984)
    • (1984) J. Diff. Eqns. , vol.52 , pp. 295-326
    • Yamada, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.