Positive periodic stability for a neutral-type host-macroparasite equation

Axiu Shu; Xiaoliang Li; Bo Du; Tao Wang; Axiu Shu; Xiaoliang Li; Bo Du; Tao Wang

doi:10.3934/math.2025342

AIMS Mathematics

2025, Volume 10, Issue 3: 7449-7462. doi: 10.3934/math.2025342

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Positive periodic stability for a neutral-type host-macroparasite equation

Axiu Shu ¹,
Xiaoliang Li ^{2
,
,},
Bo Du ^{3
,
,},
Tao Wang ³

1.
Department of Mathematics and Physics, Anqing Normal University, Anqing 246133, Anhui, China
2.
Jiyang College, Zhejiang Agriculture and Forestry University, Zhuji 311800, Zhejiang, China
3.
School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, Jiangsu, China

Received: 23 February 2025 Revised: 18 March 2025 Accepted: 26 March 2025 Published: 31 March 2025
MSC : 34K14, 34K20

In this work, we study positive periodic solutions of a neutral-type host-macroparasite equation and establish the existence results of positive periodic solutions by using topological degree theory. Furthermore, based on the Lyapunov functional method and differential inequality analysis strategies, the dynamic behaviors of the host-macroparasite model are obtained. Finally, we present a numerical example to verify the effectiveness of the obtained results. It should be pointed out that the properties of neutral operators have significant applications in the proof. Our results have extended existing findings for host-macroparasite equation.
- positive periodic solution,
- existence,
- global exponential stability,
- topological degree theory
Citation: Axiu Shu, Xiaoliang Li, Bo Du, Tao Wang. Positive periodic stability for a neutral-type host-macroparasite equation[J]. AIMS Mathematics, 2025, 10(3): 7449-7462. doi: 10.3934/math.2025342

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Abstract

In this work, we study positive periodic solutions of a neutral-type host-macroparasite equation and establish the existence results of positive periodic solutions by using topological degree theory. Furthermore, based on the Lyapunov functional method and differential inequality analysis strategies, the dynamic behaviors of the host-macroparasite model are obtained. Finally, we present a numerical example to verify the effectiveness of the obtained results. It should be pointed out that the properties of neutral operators have significant applications in the proof. Our results have extended existing findings for host-macroparasite equation.

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