Qualitative Analysis Of Hassell Anorexia Model With Interference

This paper discussed the system of the predator with interference and the prey with group defense ability .where 0 < m < 1,c> 0.and its reaction diffusion equation:where d1 > 0, d2 > 0,0 < m < 1, c> 0 . cross-reaction diffusion equation (3):where c>0, d1, a11, a12, d2,a21,a22 all are positive constants , m = 1.This paper select particularly the fourth functional response function φ(x): φ'(0) = 0, andwhen 0 < u < β , φ'(u) ≥ 0; when u ≥β, φ'(u) ≤ 0; φ(u) = 0, which corresponds toa new kind of system (1) and the questions (2) (3).In the first, it discussed the quality of the equilibrium point in system(l),uniqueness of the positive equilibrium the boundedness of the solutions, the existence of the limit cy-cle,the no-existence of the limit cycle the global stability.In the past ,it discussed existence and uniqueness of the solution, positivity of the solutions,the existence of global solution in the questions (2)(3),and the stability of the solution of the question (2).