Modeling porcine pseudorabies with age structure

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 \(\Re_0=\max\{\Re_{01}, \Re_{02}\}\) by addressing the existence and global stability of equilibria. When \(\Re_0<1\), the disease-free equilibrium is unique and globally asymptotically stable. The boundary equilibrium exists and is globally asymptotically stable under the condition \(\Re_{01}<1\) and \(\Re_{02}>1\) or \(\Re_{01}>1\) and \(\Re_{02}<1+\epsilon\). If both \(\Re_{01}>1\) and \(\Re_{02}>1+\epsilon\), there is a unique disease-endemic equilibrium which is globally asymptotically stable. For more information see https://ejde.math.txstate.edu/Volumes/2021/45/abstr.html