Yuhua Long, Yining Chen
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
R01<1 and R02>1 or R01>1 and R02<1+ε.
If both R01>1 and R0>1+ε,
there is a unique disease-endemic equilibrium
which is globally asymptotically stable.
Submitted January 22, 2021. Published May 25, 2021.
Math Subject Classifications: 92D25, 34D23, 92D40.
Key Words: Age-structured porcine pseudorabies model; equilibrium;
basic reproduction number; global stability.
DOI: https://doi.org/10.58997/ejde.2021.45
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Yuhua Long School of Mathematics and Information Science, and Center for Applied Mathematics Guangzhou University, Guangzhou 510006, China email: sxlongyuhua@gzhu.edu.cn |
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| Yining Chen School of Mathematics and Information Science, and Center for Applied Mathematics Guangzhou University, Guangzhou 510006, China email: ynchen@e.gzhu.edu.cn |
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