Global properties of a general predator-prey model with non-symmetric attack and consumption rate

摘要: Identification of conditions for stable coexistence interacting populations is a problem the highest priority in mathematical biology. This usually considered under specific assumptions made regarding functional forms non-linear feedbacks. Apparently, such an approach lacking generality. In this paper, we consider the dynamics two species with interaction predator--prey (consumer-supplier) type assumption that part resource neglected or wasted by predator (consumer). This model describes, instance, killing fun; such behaviour typical many predators when the prey abundant.    We assume responses are included in models given unspecified functions. Using direct Lyapunov method, derive which ensure global asymptotic stability model. It remarkable these impose much weaker constraints on system properties than usually assumed.