Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

被引：0
作者：
S. Suganya [1 ]
V. Parthiban [1 ]
L. Shangerganesh [2 ]
S. Hariharan [2 ]
机构：
[1] Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai Campus, Tamilnadu, Chennai
[2] Department of Applied Sciences, National Institute of Technology Goa, Kottamoll Plateau, Goa, Cuncolim
[3] Department of Mathematics, School of Engineering, Dayananda Sagar University, Bengaluru
来源：
Scientific Reports | / 14卷 / 1期
关键词：
African swine fever; Caputo fractional derivative; Numerical Simulation; Optimal control; Stability analysis;
D O I：
10.1038/s41598-024-78140-9
中图分类号：
学科分类号：
摘要：
Understanding the dynamics of the African swine fever virus during periods of intense replication is critical for effective combatting of the rapid spread. In our research, we have developed a fractional-order SVEIR model using the Caputo derivatives to investigate this behaviour. We have established the existence and uniqueness of the solution through fixed point theory and determined the basic reproduction number using the next-generation matrix method. Our study also involves an examination of the local and global stability of disease-free equilibrium points. Additionally, we have conducted optimal control analysis with two control variables to increase the number of recovered pigs while reducing the number of those infected and exposed. We have supported our findings with numerical simulations to demonstrate the effectiveness of the control strategy. © The Author(s) 2024.
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