Dynamics of a class of nonautonomous semi-ratio-dependent predator-prey systems with functional responses

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:278

Article

Wang, Q ; Fan, M ; Wang, K

关键词: predator-prey system;    functional response;    periodic solution;    almost periodic solution;    coincidence degree;    Lyapunov function;   

DOI  :  10.1016/S0022-247X(02)00718-7

来源: Elsevier

【 摘 要 】

In this paper, we investigate the dynamics of a class of the so-called semi-ratio-dependent predator-prey interaction models with functional responses based on systems of nonautonomous differential equations with time-dependent parameters. The functional responses are classified into five types and typical examples of each type are provided. Then we establish sufficient criteria for the boundedness of solutions, the permanence of system, and the existence, uniqueness and globally asymptotic stability of positive periodic solution and positive almost periodic solution. Some conclusive discussion is presented at the end of this paper. (C) 2003 Elsevier Science (USA). All rights reserved.

【 授权许可】

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