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Keywords:
delayed diffusive predator-prey model; modified Leslie-Gower scheme; Holling-type II scheme; persistence; stability; eigenvalue; monotonous iterative sequence
delayed diffusive predator-prey model; modified Leslie-Gower scheme; Holling-type II scheme; persistence; stability; eigenvalue; monotonous iterative sequence
Summary:
A diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes is considered. Local stability for each constant steady state is studied by analyzing the eigenvalues. Some simple and easily verifiable sufficient conditions for global stability are obtained by virtue of the stability of the related FDE and some monotonous iterative sequences. Numerical simulations and reasonable biological explanations are carried out to illustrate the main results and the justification of the model.
References:
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