Work

Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity

Year: 2024

Type: article

Abstract: Most water-borne disease models ignore the advection of water flows in order to simplify the mathematical analysis and numerical computation. However, advection can play an important role in determining the disease transmission dynamics. In this paper, we investigate the long-term dynamics of a periodic reaction–advection–diffusion schistosomiasis model and explore the joint impact of advection, seasonality and spatial heterogeneity on the transmission of the disease. We derive the basic reproduction number $${\mathcal {R}}_0$$ R 0 and show that the disease-free periodic solution is globally attractive when $${\mathcal {R}}_0<1$$ R 0 < 1 whereas there is a positive endemic periodic solution and the system is uniformly persistent in a special case when $${\mathcal {R}}_0>1$$ R 0 > 1 . Moreover, we find that $${\mathcal {R}}_0$$ R 0 is a decreasing function of the advection coefficients which offers insights into why schistosomiasis is more serious in regions with slow water flows.

Source: Journal of Mathematical Biology

DOI: 10.1007/s00285-024-02097-6

Authors: Peng Wu, Yurij Salmaniw, Xiunan Wang

Institutions: Hangzhou Dianzi University, University of Alberta, University of Oxford, University of Tennessee at Chattanooga

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

SDGs: Clean water and sanitation, Good health and well-being

Open Access status: hybrid

Estimated APC paid: $2,890