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
基金This work was supported by the National Natural Science Foundation of P.R.China(10361004),the Major Project of The Ministry of Education of P.R.China and the Funded by Scientific Research Program of theHigher Education Institution of Xinjiang(XJEDU2004I12).Natural Science Foundation of Xinjiang university.
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.
