Study Of A Predator-prey Model With Stage Structure For Prey

In nature, the population growth and development in different stage, will show a different behavior characteristics, its stages the physiology function is also significant difference, so we consider a popul ation stage structure. We investigate a non-autonomous perdator-prey system with stage struture in this paper. Based on the stage structure model of a single-species, established in two populations of stage structure.At present, although a large amount of mathematics educators to consider the stage structure predator prey model taking into account, but they usually study is predator preda-tor prey in juvenile, juvenile prey in nature is often in caves and their nests, and get very good protection, so the study of adult predators prey more practical significance. The second chapter in a prey-predator stage structure predator prey on adult prey models are analyzed, the first model was given the ultimate boundness of solutions, population extinction and persistence is defined. Then, through the analysis and the comparison principle of differen-tial equations, the solution of the model was obtained and ultimate boundedness conditions, population persistence, the sufficient conditions of extinction and persistence. Finally, by constructing a Lyapunov function to obtain the global attractivity. This is to maintain the species persistence and the balance of nature has the good practical significance.