Properties and numerical simulations of positive solutions for a variable-territory model
Properties and numerical simulations of positive solutions for a variable-territory model
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DOI：
10.1016/j.amc.2014.03.080
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发表时间：
2014-06
期刊：
影响因子：
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通讯作者：
Lijuan Wang;Hongling Jiang
中科院分区：
文献类型：
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作者：
Lijuan Wang;Hongling Jiang
本文考虑一类具有Dirichlet边界条件的变域捕食者-食饵模型。我们建立了定态正解存在的充要条件。此外，我们还证明了局部分支正解是无条件稳定的。利用正则摄动定理，我们研究了当处理足够大的时间元时正解的收敛和稳定性。最后，通过数值模拟和生物学意义对理论分析结果进行了验证和补充。
In this paper, we consider a variable-territory predator–prey model with Dirichlet boundary condition. We establish a necessary and sufficient condition for the existence of positive solutions to steady state. Furthermore, we also prove that the local bifurcation positive solutions are unconditional stable. By regular perturbation theorem, we investigate the convergence and stability of positive solutions when handling timemis large enough. At the end of this paper, there are some numerical simulations and biological significance to check and complement our theoretical analysis results.