Positive periodic solution for generalized Basener-Ross model

Zhibo Cheng; Xiaoxiao Cui

doi:10.3934/dcdsb.2020101

Article Contents

2020, Volume 25, Issue 11: 4361-4382. Doi: 10.3934/dcdsb.2020101

This issue Previous Article Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations Next Article Large time behavior in a predator-prey system with indirect pursuit-evasion interaction

Positive periodic solution for generalized Basener-Ross model

Zhibo Cheng^, and
Xiaoxiao Cui

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China

^* Corresponding author: Zhibo Cheng
^* Corresponding author: Zhibo Cheng

Received: August 31, 2019

Revised: October 31, 2019

Early access: April 2020

Published: November 2020

The first author is supported by National Natural Science Foundation of China (11501170), China Postdoctoral Science Foundation funded project (2016M590886), Young backbone teachers of colleges and universities in Henan Province (2017GGJS057), Fundamental Research Funds for the Universities of Henan Province (NSFRF170302)

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Abstract

This paper is devoted to the existence of at least one positive periodic solution for generalized Basener-Ross model with time-dependent coefficients. Our proof is based on Manásevich-Mawhin continuation theorem, Leray-Schauder alternative principle, fixed point theorem in cones. Moreover, we obtain that there are at least two positive periodic solutions for this model.

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Mathematics Subject Classification: Primary: 34B16, 34B18; Secondary: 34C25.

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References

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