Modeling porcine pseudorabies with age structure

Date
2021-05-25
Authors
Long, Yuhua
Chen, Yining
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
Porcine pseudorabies is an acute and highly contagious viral disease caused by the pseudorabies virus. It inflicts enormous losses to the pig-breeding industry. In this paper, we propose an age-structured mathematical model. We investigate the dynamics of this model characterized by the basic reproduction number ℜ0 = max{ℜ01, ℜ02} by addressing the existence and global stability of equilibria. When ℜ0 < 1, the disease-free equilibrium is unique and globally asymptotically stable. The boundary equilibrium exists and is globally asymptotically stable under the condition ℜ<sub>01</sub> < 1 and ℜ02 > 1 or ℜ01 > 1 and ℜ02 < 1 + ɛ, there is a unique disease-endemic equilibrium which is globally asymptotically stable.
Description
Keywords
Age-structured porcine pseudorabies model, Equilibrium, Basic reproduction number, Global stability
Citation
Long, Y., & Chen, Y. (2021). Modeling porcine pseudorabies with age structure. <i>Electronic Journal of Differential Equations, 2021</i>(45), pp. 1-16.