期刊
ACTA APPLICANDAE MATHEMATICAE
卷 176, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/s10440-021-00455-w
关键词
Bifurcation theory; Semitrivial solutions; Maximum principles; Nonlinear eigenvalue problem
资金
- Science Engineering Research Board (SERB) India [MTR/2018/000727, EMR/2017/005203]
This study investigates a two species ratio-dependent food chain model with nonlinear diffusion terms using bifurcation theory and a priori estimates to prove the existence of positive solution set for the model system. The analysis concludes that a ratio-dependent predator-prey model with nonlinear or cross diffusion can coexist in a habitat surrounded by an inhospitable environment represented by the Dirichlet boundary conditions. Additionally, the successful employment of bifurcation theory in commenting on the existence of positive solutions of a model system where interaction is in accordance with a predator dependent functional response is demonstrated.
In this work, we consider a two species ratio-dependent food chain model with nonlinear diffusion terms. Using bifurcation theory and a priori estimates we prove the existence of positive solution set for the model system. Through our bifurcation theory based analysis, we were able to conclude that a ratio-dependent predator-prey model with nonlinear or cross diffusion can coexist in a habitat surrounded by an inhospitable environment represented by the Dirichlet boundary conditions. Also we were able to show that bifurcation theory can be successfully employed to comment on the existence of positive solutions of a model system where interaction is in accordance with a predator dependent functional response.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据