扑杀在人与动物之间疾病双向传播中的意义的一般理论

IF 1.3 4区数学 Q3 BIOLOGY

Journal of Biological Systems Pub Date : 2023-06-07 DOI:10.1142/s0218339023500286

Sarita Bugalia, Jai Prakash Tripathi, Syed Abaas, Hao Wang

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引用次数: 0

摘要

提出了一种流行病模型，以理解人与动物之间的疾病动态，并通过扑杀干预策略返回到人类。该模型被分为两种情况，具有两种不同的剔除率:(1)在人均恒定率和(2)恒定人口被剔除。用基本再生数确定了平衡点的全局渐近稳定性。进一步，我们发现模型中考虑的淘汰率(2)可以通过具有多个正均衡来改变动力学。敏感性分析建议制定一项提高动物自然死亡率和疾病相关死亡率的战略。通过对各种干预策略的有效性进行排名，我们得出在人群中接种疫苗、隔离和公众意识是最有效的控制干预措施。我们的一般理论引起了人们对人类和动物种群成为疾病宿主并相互动态影响的关注。

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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GENERAL THEORY FOR SIGNIFICANCE OF CULLING IN TWO-WAY DISEASE TRANSMISSION BETWEEN HUMANS AND ANIMALS

An epidemic model is proposed to comprehend the disease dynamics between humans and animals and back to humans with a culling intervention strategy. The proposed model is separated into two cases with two different culling rates: (1) at a per-capita constant rate and (2) constant population being culled. The global asymptotic stability of equilibria is determined in terms of the basic reproduction numbers. Further, we find that the culling rate (2) considered in the model could change the dynamics by having multiple positive equilibria. Sensitivity analysis recommends developing a strategy that promotes animals’ natural and disease-related death rates. By ranking the efficacies of various intervention strategies, we obtain that vaccination in the human population, isolation and public awareness are the largely effective control interventions. Our general theory raises concerns about both human and animal populations becoming reservoirs of the disease and affecting each other dynamically.

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来源期刊

Journal of Biological Systems 生物-生物学

CiteScore

2.80

自引率

12.50%

发文量

审稿时长

1 months

期刊介绍： The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to): Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine. Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology. Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales. Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis. Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology. Numerical simulations and computations; numerical study and analysis of biological data. Epistemology; history of science. The journal will also publish book reviews.