Work

Modeling and Dynamic Analysis of Algae–Fish Model with Two State-Dependent Impulse Controls

Year: 2024

Type: article

Abstract: In ecological modeling, symmetry can manifest in multiple ways, significantly contributing to our understanding of ecosystem stability, species interactions, and ecological balance. Considering the bloom phenomenon caused by excessive algae in ponds and its impact on aquaculture, we establish a class of algae–fish ecological models with two state-dependent impulse controls. In this paper, we first discuss the existence of positive equilibria in the system without impulses. Second, the existence and asymptotic stability of the order-1 and order-2 periodic solutions are analyzed by applying successor functions and a Similar Poincare Criterion. Finally, numerical simulations demonstrate that the model exhibits order-1 and order-2 periodic solutions, clarifying that the system with two impulses can address the problem more effectively.

Source: Symmetry

DOI: 10.3390/sym16101265

Authors: Ying Liu, Yuan Zhuang, Qiong Liu, Lizhuang Huang

Institutions: Guangxi University, Beibu Gulf University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: National Natural Science Foundation of China