Periodicity and Permanence of Two Prey-One Predator Model with Infinite Delay

2012 ◽  
Author(s):  
Tingbin Li
Keyword(s):  
Infinite Delay ◽  
Predator Model

scholarly journals Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay

2009 ◽  
Vol 2009 ◽  
pp. 1-16 ◽  
Author(s):  
Zhixiang Yu ◽  
Zhong Li
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Functional ◽  
Global Attractivity ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Predator Model

A discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain sufficient conditions ensuring the global attractivity of the system. An example together with its numerical simulation shows the feasibility of the main results.

Controllability for some nonlinear impulsive partial functional integrodifferential systems with infinite delay in Banach spaces

2020 ◽  
Vol 4 (2) ◽  
pp. 104-115
Author(s):  
Khalil Ezzinbi ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Integrodifferential Equation ◽  
Resolvent Operator ◽  
Measure Of Noncompactness ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Mönch Fixed Point Theorem ◽  
The Resolvent Operator

This work concerns the study of the controllability for some impulsive partial functional integrodifferential equation with infinite delay in Banach spaces. We give sufficient conditions that ensure the controllability of the system by supposing that its undelayed part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point Theorem. As a result, we obtain a generalization of the work of K. Balachandran and R. Sakthivel (Journal of Mathematical Analysis and Applications, 255, 447-457, (2001)) and a host of important results in the literature, without assuming the compactness of the resolvent operator. An example is given for illustration.

Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay

2014 ◽  
Vol 17 (4) ◽  
Author(s):  
Shengli Xie
Keyword(s):  
Differential Equations ◽  
Differential Evolution ◽  
Existence Theorem ◽  
Banach Spaces ◽  
Existence And Uniqueness ◽  
Evolution Equations ◽  
Infinite Delay ◽  
Mild Solutions ◽  
Existence Results ◽  
Order Case

AbstractIn this paper we prove the existence and uniqueness of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay in Banach spaces. We generalize the existence theorem for integer order differential equations to the fractional order case. The results obtained here improve and generalize many known results.

scholarly journals The Bifurcation Analysis of Food Web Prey- Predator Model with Toxin

2021 ◽  
Vol 1897 (1) ◽  
pp. 012080
Author(s):  
Azhar Abbas Majeed ◽  
Mohamed Akram Lafta
Keyword(s):  
Food Web ◽  
Bifurcation Analysis ◽  
Predator Model
Sign in / Sign up

Export Citation Format

Share Document