Modeling porcine pseudorabies with age structure

Long, Yuhua
Chen, Yining
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Texas State University, Department of Mathematics
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.
Age-structured porcine pseudorabies model, Equilibrium, Basic reproduction number, Global stability
Long, Y., & Chen, Y. (2021). Modeling porcine pseudorabies with age structure. <i>Electronic Journal of Differential Equations, 2021</i>(45), pp. 1-16.