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The Existence of Periodic Solution and Periodic Attractors
Non-autonomous Nonclassical Periodic Galerkin approximate
2011/10/19
This paper is concerned with the dynamical behavior of a class of nonclassical diffusion equations Firstly, the existence of periodic solutions is established by using the Galerkin approximate method ...
Existence of Periodic Solution on a Class of Discrete Difference System
Discrete systems periodic solution trigonometrical series contraction mapping principle
2011/10/14
Using trigonometrical series theory and contraction mapping principle, This paper study two Discrete difference systems, sufficient and necessary conditions on the existence of periodic solutions for ...
Existence of Periodic Solution for a Predator-prey System with Feedback Control
Hassell-Varely type predator-prey coincidence degree theorem Lyapunov function global stability
2012/9/24
A Hassell-Varely type predator-prey system with feedback controls is studied. Using the comparison, continuation theorems and coincidence degree theorem, the existence of positive periodic solutions f...
Permanence and periodic solution for a predator-prey model with mixed-type functional response
Predator-prey model mixed-type functional response
2010/9/14
In this paper, a predator-prey model with mixed-type functional response is investigated. Sufficient conditions are derived that guarantee the permanence of the system. Meanwhile, when the system is p...
Persistence and Periodic Solution on a Nonautonomous SIS Model with Delays
time delay liapunov functional persistence
2007/12/11
An SIS model with periodic maximum infectious force, recruitment rate and the removal rate of the infectives has been investigated in this article. Sufficient conditions for the permanence and extinct...
BIFURCATION OF PERIODIC SOLUTION IN A THREE-UNIT NEURAL NETWORK WITH DELAY
Hopf bifurcation bifurcation
2007/12/11
A system of three-unit networks with no self-connection is investigated, the general formula for bifurcation direction of Hopf bifurcation is calculated, and the estimaion formula of the period for pe...
Periodic Solution of a Nonautonomous Diffusive Food Chain System of Three Species with Time Delays
diffusive food chain system positive periodic solution
2007/12/11
By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a nonautonomous diffusive food chain system of three species. { dx_1(t)/dt = x_1(t)[r_...
ALMOST PERIODIC SOLUTION FOR A CLASS OF LOTKA-VOLTERRA TYPE $N$-SPECIES ECOLOGICAL SYSTEMS WITH TIME DELAY
Infinite delay diffusion uniform persi
2007/8/7
The uniform permanence and global asymptotic stability of aclass of almost periodic Lotka-Volterra type $N$-speciescompetitive systems with diffusion and delays are investigated. Itis shown that the ...