About reaction–diffusion systems involving the Holling-type II and the Beddington–DeAngelis functional responses for predator–prey models
نویسندگان
چکیده
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The existence, bifurcation and stability of positive stationary solutions of a diffusive LeslieGower predatorprey model with Holling-type II functional responses
In this paper, we revisit a diffusive Leslie–Gower predator–preymodel with Holling-type II functional responses and Dirichlet boundary condition. It is shown that multiple positive steady state solutions exist under certain conditions on the parameters, while for another parameter region, the positive steady state solution is unique and locally asymptotically stable. Results are proved by using...
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A predator’s per capita feeding rate on prey, or its functional response, provides a foundation for predator–prey theory. Since 1959, Holling’s prey-dependent Type II functional response, a model that is a function of prey abundance only, has served as the basis for a large literature on predator–prey theory. We present statistical evidence from 19 predator–prey systems that three predator-depe...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2018
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-018-0515-9