稀疏效应下具有常投放的食饵-捕食系统极限环的存在性

Existence of Limit Cycles about Prey-Predator System with Constant Rate Stoking under Sparse Effect

研究了一类稀疏效应下食饵种群具有常投放的捕食系统,得到了该系统存在唯一稳定极限环的充分条件,并给出了投放对系统影响的生态解释,同时把杜超雄一文中食饵种群的增长率从三次多项式推广到四次多项式。

A prey-predator system with constant rate stocking under sparse effect is discussed in this paper. Sufficient conditions of the existence,uniqueness of limit cycles are obtained,the ecologic explanation of rate stocking to the system is given,and the Du Chao-xiong＇s prey species growth is extended from three order polynomial to four order polynomial.