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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 ...
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 ...
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...
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...
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...
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...
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_...
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 ...

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