Die Eindeutigkeit des Grenzzyklus bei der Liénardschen Differentialgleichung.
Differential equations with infinite number of limit cycles
Distribution of zeros of solutions of certain periodic differential equations
Double Hopf bifurcation with strong resonances in delayed systems with nonlinearities.
Double periodic solutions for a ratio-dependent predator-prey system with harvesting terms on time scales.
Duality mapping and the existence of periodic solutions for non-autonomous second order systems.
Dynamic analysis of an impulsively controlled predator-prey system.
Dynamical behavior of Volterra model with mutual interference concerning IPM
A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
Dynamical behavior of Volterra model with mutual interference concerning IPM
A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
Dynamical systems modelled by third order differential equations with special respect to the influence of the restoring term on the properties of solutions
Dynamical systems with newtonian type potentials
Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls
This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence of the model. Under a suitable condition, we prove that the system has global stable periodic solution. The paper ends with brief conclusions.
Dynamics in a discrete predator-prey system with infected prey
In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.
Dynamics of a nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses.
Dynamics of a system of nonlinear differential equations.