Role of limited medical resources in an epidemic model with media report and general birth rate

被引：0
|
作者：
Hao, Yicheng [1 ]
Luo, Yantao [1 ]
Teng, Zhidong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
来源：
INFECTIOUS DISEASE MODELLING | 2025年 / 10卷 / 02期
关键词：
General birth rate; Media report; Hospital capacity; Backward bifurcation; MATHEMATICAL-THEORY; IMPACT; DYNAMICS; TRANSMISSION; BIFURCATIONS; COVID-19; COVERAGE;
D O I：
10.1016/j.idm.2025.01.001
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper formulates an SEIRSHM epidemic model with general birth rate, media report and limited medical resources. Firstly, the well-posedness of the solutions and the extinction of the disease are discussed. Then, the existence of the endemic equilibrium is discussed and we find when R-& lowast; > 1 and R-0 = 1, there exhibits a backward bifurcation, if R-& lowast; < 1 and R-0 = 1, there exhibits a forward bifurcation. Finally, numerical simulations are carried out to illustrate the main results and show that media report and limited medical resources have a great impact on disease transmission. (c) 2025 The Authors. Publishing services by Elsevier B.V. on behalf of KeAi Communications Co. Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
引用
收藏
页码：522 / 535
页数：14
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