A Predator-prey Model Based On Reservoir Ecosystem And Its Related Dynamic Problems

In this paper,we mainly study dynamic problems of a predator-prey model based on reservoir ecosystem and obtain some perfect theoretical and numerical results.Firstly,the research background and current situation of predator-prey model and impulsive control model based on ecosystem are introduced,and some definitions and lemmas used in subsequent chapters are listed.Secondly,a reservoir ecological predator-prey model with Allee effect is constructed to investigate specific dynamic behavior theoretically and numerically.Some key threshold conditions are given to ensure the existence of specific dynamic behavior.The simulation results are carried out to verify the validity of the theoretical derivation,and reveal the influence mechanism of Allee effect on the dynamic behavior evolution of the predator-prey model.Thirdly,a reservoir ecological predator-prey model based on state feedback control is constructed to study specific dynamic behavior theoretically and numerically.Some critical conditions for the existence and stability of semi-trivial periodic solution and order 1 periodic solution are given.The numerical simulation shows that the model has some specific dynamic behaviors,which can verify the validity of the theoretical results,and further reveal the feasibility of comprehensive control measures of "comprehensive algae removal + ecological algae suppression".Finally,we summarize the paper and give expectations,it's our hope that these results will be of use in the future study of nonlinear dynamics of reservoir ecological predator-prey model.