Periodic solutions of a population dynamics model with hysteresis

Sergey A. Timoshin; Yifu Wang

doi:10.1016/j.nonrwa.2023.104050

Periodic solutions of a population dynamics model with hysteresis

Sergey A. Timoshin, Yifu Wang^*

^*Corresponding author for this work

School of Mathematics and Physics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is concerned with a population dynamics model describing the evolution of three biological species. Our system takes into account diffusion and hysteretic effects underlying the evolution process. It is shown that the problem admits a time periodic solution under fairly general assumptions on the hysteresis region and right-hand sides of the system.

Original language	English
Article number	104050
Journal	Nonlinear Analysis: Real World Applications
Volume	77
DOIs	https://doi.org/10.1016/j.nonrwa.2023.104050
Publication status	Published - Jun 2024

Keywords

Biological diffusion models
Evolution systems
Hysteresis
Periodic solutions

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10.1016/j.nonrwa.2023.104050

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Timoshin, S. A., & Wang, Y. (2024). Periodic solutions of a population dynamics model with hysteresis. Nonlinear Analysis: Real World Applications, 77, Article 104050. https://doi.org/10.1016/j.nonrwa.2023.104050

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title = "Periodic solutions of a population dynamics model with hysteresis",

abstract = "This paper is concerned with a population dynamics model describing the evolution of three biological species. Our system takes into account diffusion and hysteretic effects underlying the evolution process. It is shown that the problem admits a time periodic solution under fairly general assumptions on the hysteresis region and right-hand sides of the system.",

keywords = "Biological diffusion models, Evolution systems, Hysteresis, Periodic solutions",

author = "Timoshin, {Sergey A.} and Yifu Wang",

note = "Publisher Copyright: {\textcopyright} 2023",

year = "2024",

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doi = "10.1016/j.nonrwa.2023.104050",

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AU - Wang, Yifu

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N2 - This paper is concerned with a population dynamics model describing the evolution of three biological species. Our system takes into account diffusion and hysteretic effects underlying the evolution process. It is shown that the problem admits a time periodic solution under fairly general assumptions on the hysteresis region and right-hand sides of the system.

AB - This paper is concerned with a population dynamics model describing the evolution of three biological species. Our system takes into account diffusion and hysteretic effects underlying the evolution process. It is shown that the problem admits a time periodic solution under fairly general assumptions on the hysteresis region and right-hand sides of the system.

KW - Biological diffusion models

KW - Evolution systems

KW - Hysteresis

KW - Periodic solutions

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U2 - 10.1016/j.nonrwa.2023.104050

DO - 10.1016/j.nonrwa.2023.104050

M3 - Article

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SN - 1468-1218

VL - 77

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

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Periodic solutions of a population dynamics model with hysteresis

Abstract

Keywords

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