Existence of Multiple Periodic Solutions for Plankton Allelopathy Model with Time-delays
نویسندگان
چکیده
The paper studies a modified Lotka-Volterra competition system with time-delays, which describes the growth of two species of plankton with competitive and allelopathic effects on each other. With the help of Mawhin’s continuation theorem of coincidence degree theory, we obtain a set of sufficient conditions for the existence of multiple positive periodic solutions. Finally, we carry out a numerical example to confirm the validity of the results.
منابع مشابه
Periodic solutions for a delay model of plankton allelopathy on time scales
In this paper, a delay model of plankton allelopathy is investigated. By using the coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained. The presented criteria improve and extend previous results in the literature. 2000 Mathematics Subject Classification: 92D25, 34C25.
متن کاملMultiple Periodic Solutions for a Discrete Time Model of Plankton Allelopathy
We study a discrete time model of the growth of two species of plankton with competitive and allelopathic effects on each other N1(k + 1) = N1(k)exp{r1(k)− a11(k)N1(k)− a12(k)N2(k) − b1(k)N1(k)N2(k)}, N2(k + 1) = N2(k)exp{r2(k) − a21(k)N1(k) − a22(k) N2(k)− b2(k)N1(k)N2(k)}. A set of sufficient conditions is obtained for the existence of multiple positive periodic solutions for this model. The ...
متن کاملFeedback Control in a General Almost Periodic Discrete System of Plankton Allelopathy
We study the properties of almost periodic solutions for a general discrete system of plankton allelopathy with feedback controls and establish a theorem on the uniformly asymptotic stability of almost periodic solutions.
متن کاملExistence of at Least Two Periodic Solutions for a Competition System of Plankton Allelopathy on Time Scales
We study a competition system of the growth of two species of plankton with competitive and allelopathic effects on each other on time scales. With the help of Mawhin’s continuation theorem of coincidence degree theory, a set of easily verifiable criteria is obtained for the existence of at least two periodic solutions for this model. Some new existence results are obtained. An example and nume...
متن کاملJoint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs
This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...
متن کامل