Dynamics in a Competitive Lotka-volterra Predator-prey Model with Multiple Delays

نویسندگان

  • Changjin Xu
  • Yusen Wu
چکیده

In this paper, we investigate a discrete competitive Lotka-Volterra predatorprey model with multiple delays. For general non-autonomous case, sufficient conditions which ensure the permanence and the global stability of the system are derived by applying the differential inequality theory; For periodic case, sufficient conditions which guarantee the existence of an unique globally stable positive periodic solution are established. Some numerical simulations which illustrate our theoretical findings are carried out.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Efficiency of Harvested Factor; Lotka-Volterra Predator-Prey Model

   Scientists are interested in find out “how to use living resources without damaging the ecosystem at the same time?” from nineteen century because the living resources are limited. Thus, the harvested rate is used as the control parameters. Moreover, the study of harvested population dynamics is more realistic.    In the present paper, some predator-prey models in which two ecologically inte...

متن کامل

The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations

Some scientists are interesting to study in area of harvested ecological modelling. The harvested population dynamics is more realistic than other ecological models. In the present paper, some of the Lotka-Volterra predator-prey models have been considered. In the said models, existing species are harvested by constant or variable growth rates. The behavior of their solutions has been analyzed ...

متن کامل

The Lotka-Volterra Predator-Prey Equations

One may find out the application‎ ‎of mathematics in the areas of ecology‎, ‎biology‎, ‎environmental‎ ‎sciences etc‎. ‎Mathematics is particulary used in the problem of‎ ‎predator-prey known as lotka-Volterra predator-prey equations.‎ ‎Indeed‎, ‎differential equations is employed very much in many areas‎ ‎of other sciences‎. ‎However‎, ‎most of natural problems involve some‎ ‎unknown functions...

متن کامل

An Analysis on The Lotka-Volterra Food Chain Model: Stability

The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Presence of complex food web increase the stability of the ecosystem. Classical food chain theory arises from Lotka-Volterra model. In the present paper, the dynamics behavior of three level food chain is studied. A syst...

متن کامل

Periodic solution for athree-species Lotka-Volterra food-chain model with time delays

K e y w o r d s F o o d c h a i n model, Time delay, Periodic solution, Coincidence degree, Global stability. 1. I N T R O D U C T I O N The classical Lotka-Volterra type predator-prey systems are very important in the models of multi-species population dynamics. There are considerable works on the global dynamics of Lotka-Volterra predator-prey systems (see, for example, [1-3]). It is often ob...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016