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In this paper, we consider ratio-dependent predator-prey models with disease in the prey under Neumann boundary condition. We investigate sufficient conditions for the existence and non-existence of non-constant positive steady-state solutions by the effects of the induced diffusion rates.
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참고문헌 (16)
참고문헌 신청
I. Ahn / 2013 / Asymptotic behavior of a ratio-dependent predatorprey system with disease in the prey / Discrete Contin. Dyn. Syst. (Special):11~19
R. Arditi / 1989 / Coupling in predator-prey dynamics: ratio dependence / J. Theor. Biol. 139:311~326
R. Arditi / 1991 / Variation in plankton densities among lakes: a case for ratio-dependent models / American Naturalist 138:1287~1296
R. Arditi / 1992 / Empirical evidence of the role of heterogeneity in ratio-dependent consumption / Ecology 73:1544~1551
R. S. Cantrell / 2001 / On the dynamics of predator-prey models with the Beddington-DeAngelis functional response / J. Math. Anal. Appl. 257(1):206~222
R. Arditi / 1989 / Coupling in predator-prey dynamics: ratio dependence / J. Theor. Biol. 139:311~326
R. Arditi / 1991 / Variation in plankton densities among lakes: a case for ratio-dependent models / American Naturalist 138:1287~1296
R. Arditi / 1992 / Empirical evidence of the role of heterogeneity in ratio-dependent consumption / Ecology 73:1544~1551
R. S. Cantrell / 2001 / On the dynamics of predator-prey models with the Beddington-DeAngelis functional response / J. Math. Anal. Appl. 257(1):206~222
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