具有一般密度制约的食饵-捕食者扩散系统的行波解

Traveling wave solutions for diffusive predator-prey type systems with general density dependence

论文主要研究一类具有非线性密度制约函数的食饵-捕食者扩散系统的行波解.利用拓扑打靶的方法,借助构造似Wazewski集和Lyapunov函数,证明了系统连结边界平衡点和共存平衡点的非负行波解的存在.本文的结果意味着由Huang所建立的行波解在捕食者具有非线性密度制约的情形下是可以保持的.

In this paper,a traveling wave solution for a class of diffusive predator-prey system with nonlinear density dependence is considered.Using methods of topological shooting,we show the existence of a non-negative traveling wave solution,which connects a boundary equilibrium to the co-existence equilibrium facilitated by a Wazewski-like set combined with a Lyapunov function.These mean Huang's results are generalized for prospective applications.