Excellence in Research and Innovation for Humanity

Yanling Zhu

Publications

4

Publications

4
6973
Positive Periodic Solutions for a Predator-prey Model with Modified Leslie-Gower Holling-type II Schemes and a Deviating Argument
Abstract:

In this paper, by utilizing the coincidence degree theorem a predator-prey model with modified Leslie-Gower Hollingtype II schemes and a deviating argument is studied. Some sufficient conditions are obtained for the existence of positive periodic solutions of the model.

Keywords:
Predator-prey model, Holling II type functional response, positive periodic solution, coincidence degree theorem.
3
8357
Uniformly Persistence of a Predator-Prey Model with Holling III Type Functional Response
Authors:
Abstract:

In this paper, a predator-prey model with Holling III type functional response is studied. It is interesting that the system is always uniformly persistent, which yields the existence of at least one positive periodic solutions for the corresponding periodic system. The result improves the corresponding ones in [11]. Moreover, an example is illustrated to verify the results by simulation.

Keywords:
Predator-prey model, Uniformly persistence, Comparisontheorem, Holling III type functional response.
2
9542
Periodic Solutions for a Third-order p-Laplacian Functional Differential Equation
Abstract:

By means of Mawhin’s continuation theorem, we study a kind of third-order p-Laplacian functional differential equation with distributed delay in the form: ϕp(x (t)) = g  t,  0 −τ x(t + s) dα(s)  + e(t), some criteria to guarantee the existence of periodic solutions are obtained.

Keywords:
p–Laplacian, distributed delay, periodic solution, Mawhin's continuation theorem.
1
15240
Periodic Solutions for a Higher Order Nonlinear Neutral Functional Differential Equation
Authors:
Abstract:

In this paper, a higher order nonlinear neutral functional differential equation with distributed delay is studied by using the continuation theorem of coincidence degree theory. Some new results on the existence of periodic solutions are obtained.

Keywords:
Neutral functional differential equation, higher order, periodic solution, coincidence degree theory.