کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634796 1340700 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stationary patterns of the Holling–Tanner prey–predator model with diffusion and cross-diffusion
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stationary patterns of the Holling–Tanner prey–predator model with diffusion and cross-diffusion
چکیده انگلیسی

This paper is concerned with the Holling–Tanner prey–predator model subject to the homogeneous Neumann boundary condition. We will show that under certain hypotheses, even though the unique positive constant steady state is uniformly asymptotically stable for the dynamics with diffusion, non-constant positive steady states can exist due to the emergence of cross-diffusion. The biological implication of cross-diffusion means that the prey species exercise a self-defense mechanism to protect themselves from the attack of the predator. Our result also demonstrates that cross-diffusion can create Stationary Patterns.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 196, Issue 2, 1 March 2008, Pages 570–577
نویسندگان
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