Study of a Diseased Volterra Type Population Model featuring Prey Refuge and Fear Influence

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2024-05-20 DOI:10.37394/23206.2024.23.41

N. M. S. Sundari, S. P. Geetha

引用次数: 0

Abstract

In order to study the local stability characteristics of a predator-prey dynamical model, this work proposes a Volterra-type model that takes into account the fear influence of prey resulting from predator domination. Because of an outbreak of disease in the prey species, the prey gets classified as either healthy or diseased. Both predator and prey species compete for their resources. In addition, the prey sought refuge against the predator. All these factors are addressed when setting up the mathematical model. The biological validity of the model is ensured by testing its boundedness. The equilibrium points have been identified. The short-term behavior of the system is analyzed at all equilibrium points. Routh Hurwitz conditions are employed to examine the local stability property.

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以猎物庇护和恐惧影响为特征的疾病 Volterra 型种群模型研究

为了研究捕食者-猎物动力学模型的局部稳定性特征，本研究提出了一个 Volterra 型模型，该模型考虑了捕食者统治猎物所产生的恐惧影响。由于猎物物种爆发疾病，猎物被分为健康和患病两种。捕食者和猎物都在争夺资源。此外，猎物也在寻求庇护以对抗捕食者。在建立数学模型时，所有这些因素都得到了考虑。通过测试模型的有界性，确保了模型的生物学有效性。平衡点已经确定。对所有平衡点的系统短期行为进行分析。采用 Routh Hurwitz 条件来检验局部稳定性。

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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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.