考虑在移动环境下局部扩散三种群Lotka-Volterra竞争合作系统行波解的存在性,并假设此系统的内禀增长率函数恒大于某正常数。通过构造一对有序的上下解并利用单调迭代技巧和波动引理,证明了系统的非负受迫行波的存在性。We consider the...考虑在移动环境下局部扩散三种群Lotka-Volterra竞争合作系统行波解的存在性,并假设此系统的内禀增长率函数恒大于某正常数。通过构造一对有序的上下解并利用单调迭代技巧和波动引理,证明了系统的非负受迫行波的存在性。We consider the existence of traveling wave solutions for Lotka-Volterra competitive-cooperative system with three-species under a shifting habitat, and assume that the intrinsic growth rate functions of this system are greater than the normal numbers. We prove the existence of non-negative forced traveling waves of the system by constructing a pair of upper and lower solutions and using monotonic iterative techniques and the fluctuation lemma.展开更多
文摘考虑在移动环境下局部扩散三种群Lotka-Volterra竞争合作系统行波解的存在性,并假设此系统的内禀增长率函数恒大于某正常数。通过构造一对有序的上下解并利用单调迭代技巧和波动引理,证明了系统的非负受迫行波的存在性。We consider the existence of traveling wave solutions for Lotka-Volterra competitive-cooperative system with three-species under a shifting habitat, and assume that the intrinsic growth rate functions of this system are greater than the normal numbers. We prove the existence of non-negative forced traveling waves of the system by constructing a pair of upper and lower solutions and using monotonic iterative techniques and the fluctuation lemma.