具放牧率的非线性生态模型的正概周期解

数学季刊 ›› 2013, Vol. 28 ›› Issue (1): 11-19.

具放牧率的非线性生态模型的正概周期解

Faculty of Science, Jiangsu University

收稿日期:2010-09-04 出版日期:2013-03-30 发布日期:2023-03-07
作者简介:NI Hua(1969-), male, native of Danyang, Jiangsu, a lecturer of Jiangsu University, M.S.D., engages in theories and applications of differential equations.
基金资助:
Supported by the NNSF of China(11171135)； Supported by the Jiangsu Province Innovation Project of Graduate Education(1221190037)

Positive Almost Periodic Solution on a Nonlinear Logistic Biological Model with Grazing Rates

Faculty of Science, Jiangsu University

Received:2010-09-04 Online:2013-03-30 Published:2023-03-07
About author:NI Hua(1969-), male, native of Danyang, Jiangsu, a lecturer of Jiangsu University, M.S.D., engages in theories and applications of differential equations.
Supported by:
Supported by the NNSF of China(11171135)； Supported by the Jiangsu Province Innovation Project of Graduate Education(1221190037)

摘要/Abstract

摘要： In this paper, we study the following nonlinear biological model dx(t)/dt = x(t)[a(t)-b(t)x^α(t)] + f(t, x_t), by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost periodic solution for the above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the positive almost periodic solution are derived.

关键词: nonlinear biological model, positive almost periodic solution, fixed pointed theorem, existence and uniqueness

Abstract: In this paper, we study the following nonlinear biological model dx(t)/dt = x(t)[a(t)-b(t)x^α(t)] + f(t, x_t), by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost periodic solution for the above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the positive almost periodic solution are derived.

Key words: nonlinear biological model, positive almost periodic solution, fixed pointed theorem, existence and uniqueness

中图分类号:

O175.6

倪华, 田立新. 具放牧率的非线性生态模型的正概周期解[J]. 数学季刊, 2013, 28(1): 11-19.

NI Hua, TIAN Li-xin. Positive Almost Periodic Solution on a Nonlinear Logistic Biological Model with Grazing Rates[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(1): 11-19.