| In this paper, we mainly consider the model of mutualism and an multiple delayed Hassell-Varley type functional response prey-predator system with im-pulses. Sufficient conditions are obtained for the existence of positive periodic solutions and almost periodic solutions by a systematic qualitative analysis, This thesis consists of three chapters.In Chapter 1, introduce the historical background;research status and main tasks of this article.In Chapter 2, we discuss the positive periodic solutions and almost periodic solutions for an impulses model of mutualism, we know the system with impulse matches the practice better, so we put the suitable impulse in the system.We obtained the permanent of the system by using impulsive integral inequalities and the skills of magnifying and shrinking. Sufficient conditions are obtained for the existence of positive periodic solutions by using Mawhin’s continuation theo-rem, we using Yuan rong’s Razumikhin type theory and using some mathematical analysis techniques to obtain existence of almost periodic solution of the system.In Chapter 3,A multiple delayed Hassell-Varley type functional response prey-predator system with impulsive linear harvesting term is investigated.By using Gaines and Mawhin’s continuation theorem of coincidence degree theory,a set of sufficient conditions theorem of coincidence obtained to guarantee the existence of positive periodic solutions of the system... |
