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Applied Mathematics-A Journal of Chinese Universities  2021, Vol. 36 Issue (1): 1-15    
    
Stability results for a nonlinear two-species competition model with size-structure
LIU Yan,  HE Ze-rong
1 Department of Mathematics, China Jiliang University, Hangzhou 310018, China.
2 Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018,China.
Stability results for a nonlinear two-species competition model with size-structure
LIU Yan,  HE Ze-rong
1 Department of Mathematics, China Jiliang University, Hangzhou 310018, China.
2 Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018,China.
 全文: PDF 
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 sizedependent. 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.
关键词： competition;  size-structure;  existence and uniqueness;  semigroup;  stability    
Abstract: 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 sizedependent. 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.
Key words: competition    size-structure    existence and uniqueness    semigroup    stability
出版日期: 2021-03-15
CLC:  92D05  
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引用本文:

LIU Yan, HE Ze-rong. Stability results for a nonlinear two-species competition model with size-structure[J]. Applied Mathematics-A Journal of Chinese Universities, 2021, 36(1): 1-15.

LIU Yan, HE Ze-rong. Stability results for a nonlinear two-species competition model with size-structure. Applied Mathematics-A Journal of Chinese Universities, 2021, 36(1): 1-15.

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http://www.zjujournals.com/amjcub/CN/    或    http://www.zjujournals.com/amjcub/CN/Y2021/V36/I1/1

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