Modeling porcine pseudorabies with age structure
| dc.contributor.author | Long, Yuhua | |
| dc.contributor.author | Chen, Yining | |
| dc.date.accessioned | 2021-08-26T17:50:29Z | |
| dc.date.available | 2021-08-26T17:50:29Z | |
| dc.date.issued | 2021-05-25 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Long, Y., & Chen, Y. (2021). Modeling porcine pseudorabies with age structure. <i>Electronic Journal of Differential Equations, 2021</i>(45), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14455 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Age-structured porcine pseudorabies model | |
| dc.subject | Equilibrium | |
| dc.subject | Basic reproduction number | |
| dc.subject | Global stability | |
| dc.title | Modeling porcine pseudorabies with age structure | |
| dc.type | Article |