The effect of heterogeneity of relative vaccine costs on the mean population vaccination rate with mpox as an example.
作者信息
Garakani Spalding, Flores Luis, Alvarez-Pardo Guillermo, Rychtář Jan, Taylor Dewey
机构信息
Mathematics Department, Cuesta College, San Luis Obispo, CA 93405, USA; Department of Mathematics, University of Texas at San Antonio, TX 78249, USA; Department of Mathematics, Texas A&M University, College Station, TX 77840, USA.
Mathematics Department, Cuesta College, San Luis Obispo, CA 93405, USA; Department of Biomedical & Chemical Engineering, University of Texas at San Antonio, TX 78249, USA; Department of Chemical and Biomolecular Engineering , John Hopkins University, Baltimore, MD 21218, USA.
出版信息
J Theor Biol. 2025 Apr 7;602-603:112062. doi: 10.1016/j.jtbi.2025.112062. Epub 2025 Feb 10.
Mpox (formerly known as monkeypox) is a neglected tropical disease that became notorious during its 2022-2023 worldwide outbreak. The vaccination was available, but there were inequities in vaccine access. In this paper, we extend existing game-theoretic models to study a population that is heterogeneous in the relative vaccination costs. We consider a population with two groups. We determine the Nash equilibria (NE), i.e., optimal vaccination rates, for each of the groups. We show that the NE always exists and that, for a narrow range of parameter values, there can be multiple NEs. We focus on comparing the mean optimal vaccination rate in the heterogeneous population with the optimal vaccination rate in the corresponding homogeneous population. We show that there is a critical size for the group with lower relative costs and the mean optimal vaccination in the heterogeneous population is more than in the homogeneous population if and only if the group is larger than the critical size.
Zotero 插件