A Predator–Prey system with anorexia response

A Predator–Prey system is proposed with an introduction of anorexia response on one prey population. By using the comparison theorem and constructing suitable Lyapunov function, we study such Predator–Prey system with almost periodic coefficients. Some sufficient conditions are obtained for the existence of a unique almost periodic solution. Numerical simulations of Predator–Prey system with anorexia response and the one without anorexia response are performed. Our observations suggest that anorexia response on one prey population has a destabilizing effect on the persistence of such Predator–Prey system.