Prof. Dr. Zhouhong Li

Committee: International Scientific Committee of Electronics and Communication Engineering
University: Yuxi Normal University
Department: Mathematics
Research Fields: Permanence; Almost periodic solution; Epidemic model; Delay; Feedback control.,

Publications

4 Four Positive Almost Periodic Solutions to an Impulsive Delayed Plankton Allelopathy System with Multiple Exploit (or Harvesting) Terms

Authors: zhouhong li, Fengshuo Zhang

Abstract:

In this paper, we obtain sufficient conditions for the existence of at least four positive almost periodic solutions to an impulsive delayed periodic plankton allelopathy system with multiple exploited (or harvesting) terms. This result is obtained through the use of Mawhins continuation theorem of coincidence degree theory along with some properties relating to inequalities.

Keywords: impulse, coincidence degree, Almost periodic solutions, plankton allelopathy system

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3 Permanence and Almost Periodic Solutions to an Epidemic Model with Delay and Feedback Control

Authors: zhouhong li, Chenxi Yang

Abstract:

This paper is concerned with an epidemic model with delay. By using the comparison theorem of the differential equation and constructing a suitable Lyapunov functional, Some sufficient conditions which guarantee the permeance and existence of a unique globally attractive positive almost periodic solution of the model are obtain. Finally, an example is employed to illustrate our result.

Keywords: Feedback Control, delay, Almost periodic solution, permanence, Epidemic model

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2 Positive Almost Periodic Solutions for Neural Multi-Delay Logarithmic Population Model

Authors: zhouhong li

Abstract:

In this paper, by applying Mawhin-s continuation theorem of coincidence degree theory, we study the existence of almost periodic solutions for neural multi-delay logarithmic population model and obtain one sufficient condition for the existence of positive almost periodic solution for the above equation. An example is employed to illustrate our result.

Keywords: Almost periodic solution, coincidence degree, Multi-delay, Logarithmic population model

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1 Multiple Positive Periodic Solutions to a Periodic Predator-Prey-Chain Model with Harvesting Terms

Authors: zhouhong li, Jiming Yang

Abstract:

In this paper, a class of predator-prey-chain model with harvesting terms are studied. By using Mawhin-s continuation theorem of coincidence degree theory and some skills of inequalities, some sufficient conditions are established for the existence of eight positive periodic solutions. Finally, an example is presented to illustrate the feasibility and effectiveness of the results.

Keywords: positive periodic solutions, coincidence degree, Predator-prey-chain model, harvesting term

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