Research And Control Of Several Ecological Epidemic Model Under Manual Intervention Behavior

Epidemic has threatened humans’health for a long time and played different roles in the long history of human development. It not only threatens humans’life and property security but also becomes the invincible opponent of millions of poultry livestock. In recent years,many experts and scholars have studied the prevalent regularity of some kinds of infectious diseases. They find that epidemic spread in both the crowd and biological populations. In addition, epidemic is easy to cause cross infection. Therefore, it is very significant to study ecological epidemic.(1) Research a kind of ecological epidemic model which has high cure rate and predators infected. To judge the partial stability of equilibrium points E0, E1 through Jacobian Matrix then to construct the function Dulac and judge the global stability of equilibrium point E0 Then it will get At that time, diseased predators become extinct while preys and susceptible predators coexist.(2) Analysis the ecological epidemic dynamics model and discuss the partial stability of equilibrium points Eo, E2. Construct the function V and the partial stability of equilibrium points E0. Then it will get c< (d2 + u2),V≤ 0. At that time, preys become extinct while predators exist consistently.(3) Investigate a kind of ecological epidemic dynamics model which has vertical infec-tion. Have Matlab numerical modeling according to R0≤1 the partial stability of equilibrium point Eo and R0> 1 global stability of equilibrium point E*. Then we can observe preys visually and we can find that the change of predator populations over time.