带凸约束的广义高斯型模型的自振荡

Journal of Nonlinear Sciences and Applications Pub Date : 2023-03-23 DOI:10.22436/jnsa.016.01.06

G. Degla, S. J. Degbo, M. Dossou-Yovo

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引用次数: 0

摘要

本文研究了捕食者的泛函和数值响应不必是单调函数，而捕食者的固有死亡率是变函数的广义高斯模型。利用最近得到的Lobanova和Sadovskii定理，建立了闭凸非空集极限环存在唯一性和全局稳定性的充分条件。此外，我们还证明了Hopf分岔存在的充分条件。最后利用scilab进行了数值模拟，验证了结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Auto-oscillation of a generalized Gause type model with a convex contraint

In this paper, we study the generalized Gause model in which the functional and numerical responses of the predators need not be monotonic functions and the intrinsic mortality rate of the predators is a variable function. As a result, we have established sufﬁcient conditions for the existence, uniqueness and global stability of limit cycles conﬁned in a closed convex nonempty set, by relying on a recent Lobanova and Sadovskii theorem. Moreover, we prove sufﬁcient conditions for the existence of Hopf bifurcation. Eventually using scilab, we illustrate the validity of the results with numerical simulations.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

自引率

0.00%

发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.