具分布时滞和扩散影响的捕食食饵模型的周期解.pdf

___________________________________________________________________________ Periodic Solution of Prey-Predator Model with Diffusion and Distributed Delay Effects WANG Chang-you (王长有) (Institute of Computer Science and Technology, Chongqing Post Telephone College, Chongqing 400065,China) Abstract: In this paper, the existence and stability of periodic solution in prey-predator model with diffusion and distributed delay effects are investigated by using the method of upper and lower solutions and comparison principle. And the global asymptotic behavior of the model is obtained. Key words: Periodic Solution; Upper and Lower Solutions; Prey-Predator Model; Delay; Existence; Stability CLC Number: 0175. 26 AMS (2000) Subject Classification: 35K57 1. Introduction As experimental results reveal, the growth rates, diffusion rates and interaction coefficients of biological species are very sensitive dependent variables of external environmental conditions. A slight change in those conditions may affect the whole evolution process. Nonlinear periodic diffusion equations arise naturally in population models [1-5] where the birth and death rates, rates of diffusion, and environmental carrying capacities are periodic on a seasonal scale. The following periodic-parabolic logistic boundary value problem describes the evolution of a population u subj ect to diffusion, having “self-limitation ”in growth, with periodically varying e