Stability results for a nonlinear two-species competition model with size-structure

被引：0
作者：
Yan Liu
Ze-rong He
机构：
[1] China Jiliang University,Department of Mathematics
[2] Hangzhou Dianzi University,Institute of Operational Research and Cybernetics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2021年 / 36卷
关键词：
competition; size-structure; existence and uniqueness; semigroup; stability; 92D05; 47D06; 35B35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We formulate a system of integro-differential equations to model the dynamics of competition in a two-species community, in which the mortality, fertility and growth are size-dependent. Existence and uniqueness of nonnegative solutions to the system are analyzed. The existence of the stationary size distributions is discussed, and the linear stability is investigated by means of the semigroup theory of operators and the characteristic equation technique. Some sufficient conditions for asymptotical stability / instability of steady states are obtained. The resulting conclusion extends some existing results involving age-independent and age-dependent population models.
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页码：1 / 15
页数：14
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