Dynamic Analysis Of Predator-prey System With Directed Movement

The predator-prey system describes an interaction between the predator and the prey.In this paper,we study the dynamics of predator-prey diffusion system with prey-taxis term or advection term.For predator-prey system with prey-taxis term,we first study the existence and boundedness of the constant equilibrium solution of the system with prey-taxis term.Secondly,the influence of the prey-taxis coefficient on the stability of constant equilibrium solution of the two species predator-prey system is obtained.Finally,the numerical simulation is carried out with MATLAB to verify the conclusion.For the predator-prey system with ad-vection term.In this paper,first,the stability of constant equilibrium solution is studied,and then the conditions and types of the bif'urcation of the predator-prey system in constant equilibrium solution is studied,and the numerical simulation is also carried out by using MATLAB,finally,verifying the conclusions.