Long, YuhuaChen, Yining2021-08-262021-08-262021-05-25Long, Y., & Chen, Y. (2021). Modeling porcine pseudorabies with age structure. <i>Electronic Journal of Differential Equations, 2021</i>(45), pp. 1-16.1072-6691https://hdl.handle.net/10877/14455Porcine 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 ℜ₀₁ < 1 and ℜ02 > 1 or ℜ01 > 1 and ℜ02 < 1 + ɛ, there is a unique disease-endemic equilibrium which is globally asymptotically stable.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalAge-structured porcine pseudorabies modelEquilibriumBasic reproduction numberGlobal stabilityArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.