Modeling the spatiotemporal variations in brucellosis transmission. (December 2017)

• Record Type: Journal Article
• Authors: Yang, Chayu; Lolika, Paride O.; Mushayabasa, Steady; Wang, Jin
• Is Part Of: Nonlinear analysis. Volume 38(2017)
• Page Start: 49
• Page End: 67
• Publication Date: 2017-12
• Subjects: Brucellosis -- Spatial variation -- Seasonal oscillation -- Threshold dynamics; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.04.006
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we propose a nonlinear modeling framework to investigate the transmission dynamics of brucellosis, incorporating both the spatial and seasonal variations. The spatial modeling is based on a patch structure, and the seasonal impact is represented by utilizing time-periodic model parameters. We demonstrate this framework through a two-patch model and conduct detailed analysis, for the cases with and without seasonal oscillations, respectively. In particular, we establish the threshold dynamics results using the reproduction numbers defined under different scenarios. Our findings underscore the importance of including spatial and seasonal heterogeneities in the design of control strategies for brucellosis.