A Stage-Structured Predator-Prey System with Time Delay and Beddington-DeAngelis Functional Response

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response

The Beddington–DeAngelis predator–prey system with distributed delay is studied in this paper. At first, the positive equilibrium and its local stability are investigated. Then, with the mean delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. The bifurcating periodic solutions are analyzed by means of the normal form and center manifold theorems. Finally, numer...

متن کامل

Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay

and Applied Analysis 3 Under A1 , let u u − u∗, v v − v∗ and drop the bars for simplicity of notations, then 1.1 can be transformed into the following equivalent system: ut d1Δu t, x u u∗ 1 − u t − τ, x u∗ − s u u ∗ v v∗ m u u∗ n v v∗ , vt d2Δv t, x r u u∗ v v∗ m u u∗ n v v∗ − d v v∗ . 2.2 Let P u, v uv/ m u nv . By u∗ 1 − u∗ − su∗v∗/ m u∗ nv∗ 0 and −dv∗ ru∗v∗/ m u∗ nv∗ 0 2.2 becomes ut d1Δu t,...

متن کامل

Dynamics of a nonautonomous predator–prey system with the Beddington–DeAngelis functional response

In this paper, we systematically study the dynamics of a nonautonomous predator–prey system with the Beddington–DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (al...

متن کامل

Study on a non-autonomous predator-prey system with Beddington-DeAngelis functional response

In this paper, a predator–prey system with Beddington–DeAngelis functional response is studied, where the predator preys on n competing preys. We prove that the system admits very rich dynamics, including permanence, ultimate boundedness, extinction. Moreover, under some appropriate assumptions, there exists a unique almost periodic solution which is shown to be globally asymptotically stable.

متن کامل

Dynamics of a stochastic predator-prey system with Beddington-DeAngelis functional response

This paper is concerned with a stochastic predator-prey model with Beddington DeAngelis functional response. The existence of the global solution and the ultimate boundedness of moments of the solution are proved. Moreover, we also estimate the average in time of the solution.

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

ژورنال

عنوان ژورنال: Kyungpook mathematical journal

سال: 2009

ISSN: 1225-6951

DOI: 10.5666/kmj.2009.49.4.605