A two-stage sheep brucellosis transmission dynamic model in a patchy environment: Stability analysis and optimization of transportation scheme

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-09-01 DOI:10.1016/j.jmaa.2025.130026

Shuangjie Bai , Boqiang Cao , Ting Kang , Qingyun Wang

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引用次数: 0

Abstract

The cross-regional transport of sheep breaks geographical restrictions and expands the range of sheep, leading to the spread of brucellosis, one of the most widely spread zoonotic diseases transmitted by animals, and exposing more sheep and people to the threat of infection. To this end, a two-stage sheep brucellosis transmission dynamic model in a patchy environment is formulated based on the transmission characteristics of brucellosis. Firstly, the basic reproduction number is determined, and the global stabilities of disease-free, nontrivial boundary, and endemic equilibria are established, respectively. Subsequently, numerical simulations are applied to verify the correctness of the theoretical results. Finally, based on the recruitment rates of lambs and the basic reproduction number of two patches, the optimal transportation scheme for lambs and adult sheep is provided to reduce the risk of transmission of brucellosis.

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斑块环境下两阶段羊布鲁氏菌病传播动态模型：稳定性分析与运输方案优化

羊的跨区域运输打破了地理限制，扩大了羊的活动范围，导致传播最广泛的动物传播人畜共患疾病之一布鲁氏菌病的传播，使更多的羊和人面临感染的威胁。为此，根据布鲁氏菌病的传播特点，建立了斑片环境下两阶段的绵羊布鲁氏菌病传播动态模型。首先确定基本繁殖数，建立无病平衡点、非平凡平衡点和地方性平衡点的全局稳定性。通过数值模拟验证了理论结果的正确性。最后，根据羔羊的招募率和两个斑块的基本繁殖数，给出羔羊和成年羊的最优运输方案，以降低布鲁氏菌病的传播风险。

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.