A predator-prey system with anorexia response
This paper treats a predator-prey model with one predator and two prey species. It is assumed that there is a saturation effect with respect to the first prey species, while the predator response to the second prey species is of anorexia type. All the coefficients that usually are regarded constant, now are allowed to be nonnegative almost periodic functions of time. The authors prove the existence of a bounded solution and, by constructing an appropriate Lyapunov function, also establish sufficient conditions for the existence of a unique almost periodic positive and globally attractive solution. Finally, numerical simulations with and without anorexia response show important differences in the long-term behavior of the predator population.
scientific article; zbMATH DE number 5125024
scientific article