Dynamic Analysis and Optimal Control of Fractional Order African Swine Fever Models with Media Coverage

African swine fever is a highly contagious virus that causes pig disease. Its onset process short, but the mortality rate as high 100%. There are still no effective drugs have been developed to treat fever, and prevention control measures currently best means avoid infection in herds. In this paper, two fractional order mathematical models with media coverage constructed describe transmission of fever. The first model basic coverage, considered. For model, reproduction number obtained by using next generation matrix method. Then, sufficient conditions for existence stability equilibriums obtained. Based on second established incorporating measures. By Pontryagin’s maximal principle, optimal solution derived. After that, some numerical simulations performed verify theoretical results. Both qualitative analysis results indicate timely combined disinfection crucial preventing spread