An impulsive periodic predator–prey system with Holling type III functional response and diffusion
نویسندگان
چکیده
منابع مشابه
On a Periodic Predator-Prey System with Holling III Functional Response and Stage Structure for Prey
and Applied Analysis 3 To the best of the authors’ knowledge, for the nonautonomous case of predatorprey systems with two predators which consume immature prey and stage structure for prey, whether one could obtain the sufficient and necessary conditions which insure the permanence of the system or not is still an open problem. The aim of this paper is, by further developing the analysis techni...
متن کاملAnalysis of a delayed predator-prey system with Holling type-IV functional response and impulsive diffusion between two patches
Due to the extensive existence of time delay for natural population, it is necessary to take the effect of time delay into account in forming a biologically meaningful mathematical model. In view of this, a delayed predator-prey system with Holling type-IV functional response and impulsive dispersal between two patches is formulated. By using comparison theorem of impulsive differential equatio...
متن کاملPeriodic Solution for a Delayed Three-species Food-chain System with Holling Type-ii Functional Response
A delayed three-species periodic food-chain system with Holling type-II functional response is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions is derived for the existence of positive periodic solutions to the system. 1. Introduction. A rather characteristic behavior of population dynamics is the ofte...
متن کاملAn Impulsive Periodic Single-Species Logistic System with Diffusion
We study a single-species periodic logistic type dispersal system in a patchy environment with impulses. On the basis of inequality estimation technique, sufficient conditions of integrable form for the permanence and extinction of the system are obtained. By constructing an appropriate Lyapunov function, conditions for the existence of a unique globally attractively positive periodic solution ...
متن کاملTwo positive almost periodic solutions of harvesting predator-prey model with holling III type functional response and time delays
By means of Mawhin’s continuation theorem of coincidence degree theory, some sufficient conditions are obtained for the existence of at least two positive almost periodic solutions of harvesting predator-prey model with Holling III type functional response and time delays. An example and numerical simulations are employed to illustrate the main result of this paper. Key–Words: Almost periodicit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2012
ISSN: 0307-904X
DOI: 10.1016/j.apm.2012.01.032