JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (2): 64-74.doi: 10.6040/j.issn.1671-9352.0.2024.214

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Stability analysis and optimal control of the epidemic model with virus-carrier and environmental virus for African swine fever

WANG Kun, ZHANG Ruixia*   

  1. School of Mathematics, North University of China, Taiyuan 030051, Shanxi, China
  • Published:2026-02-13

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Abstract: To investigate the impact of virus-carrying pigs and environmental viruses on the spread of African swine fever(ASF), an ASF transmission model is constructed. The basic reproduction number R0 is calculated by the next generation matrix method. The existence of the equilibrium point is discussed, and the local stability and global stability of the disease-free equilibrium and the endemic equilibrium are analyzed. By applying Pontryagins maximum principle and optimal control theory, the optimal control solution is obtained. Finally, the numerical simulations verify the correctness of the conclusion and reveal the influence of the virus carrying pigs and the virus in the environment on the transmission. The optimal control simulation results show that the number of infections is reduced under controlled conditions.

Key words: African swine fever, epidemic model, basic reproduction number, stability, optimal control

CLC Number: 

  • O175
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