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Foot and mouth disease is a contagious disease of animals. It was found that it spreads out in the late rainy season and the early winter in every year. It is caused by seven aphthoviruses: A, O, C, SAT 1, SAT 2, SAT 3 and Asia 1. In Thailand, only three aphthoviruses was found (i.e., A, O and Asia 1). These viruses were found in the secretions, milk and semen of the infected animals. Since the pandemic is significant, we studied the problems from the reports of the pandemic of the foot and mouth disease from 2013–2022, analyzed and searched for the solutions by creating the mathematical model(s) of the foot and mouth disease, finding the balance point(s) of the model(s), considering the numerical results and identifying the conditions of the stability(ies) of disease free equilibrium state and disease endemic equilibrium state. The results were shown in the form of basic reproductive numbers. The numerical results were analyzed for controlling the disease and providing the guidelines for reducing the pandemic of the foot and mouth disease.
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Bureau of Disease Control and Veterinary Services, Department of Livestock Development, “Epidemic Situation,” (in Thai), 2022. [Online]. Available: http://esmartsur.net/Report_Situation.aspx
T. Yano et al., “Foot and Mouth Disease outbreak in Chiang Mai and Lamphun Area during 2007-2011,” (in Thai), Chiang Mai Vet. J., vol. 11, no. 3, pp. 277–287, 2013.
M. J. Keeling, “Models of foot-and-mouth disease,” Proc. Biol. Sci., vol. 272, no. 1569, pp. 1195–1202, Jun. 2005, doi: 10.1098/rspb.2004.3046.
S. Mushayabasa, C. P. Bhunu, and M. Dhlamini, “Impact of vaccination and culling on controlling foot and mouth disease: A mathematical modelling approach,” World J. Vaccines, vol. 1, no. 4, pp. 156–161, Nov. 2011, doi: 10.4236/wjv.2011.14016.
T. Chanchaidechachai, M. C. M. de Jong, and E. A. J. Fischer, “Spatial model of foot-and-mouth disease outbreak in an endemic area of Thailand,” Prev. Vet. Med., vol. 195, Oct. 2021, Art. no. 105468.
S. Mushayabasa, D. Posny, and J. Wang, “Modeling the intrinsic dynamics of foot-and-mouth disease,” Math. Biosci. Eng., vol. 13, no. 2, pp. 425–442, Apr. 2016, doi: 10.3934/mbe.2015010.
M. Kobayashi, T. E. Carpenter, B. F. Dickey, and R. E. Howitt, “A dynamic, optimal disease control model for foot-and-mouth-disease: II. Model results and policy implications,” Prev. Vet. Med., vol. 79, no.2-4, pp. 274–286, May 2007, doi: 10.1016/j.prevetmed.2007.01.001.
W. J. Klaring and W. Timischl, “Mathematical models for the spread and control of foot-and-mouth disease during the 1973 epidemic in Austria,” Biom. J., vol. 21, no. 7, pp. 675–680, 1979, doi: 10.1002/bimj.4710210711.
F. Mugabi, J. Mugisha, B. Nannyonga, H. Kasumba, and M. Tusiime, “Parameter-dependent transmission dynamics and optimal control of foot and mouth disease in a contaminated environment,” J. Egypt. Math. Soc., vol. 27, Dec. 2019, Art. no. 53. doi: 10.1186/s42787-019-0058-1.
A. H. Cabezas, M. W. Sanderson, and V. V. Volkova, “A meta-population model of potential foot-and-mouth disease transmission, clinical manifestation and detection within U.S. Beef Feedlots,” Front. Vet. Sci., vol. 7, Sep. 2020, Art. no. 527558, doi: 10.3389/fvets.2020.527558.
L. Edelstein-Keshet, Mathematical Models in Biology. New York, NY, USA: Random House, 1998.
K. Abodayeh, M. S. Arif, A. Raza, M. Rafiq, M. Bibi, and A. Nazeer, “Numerical techniques for stochastic foot and mouth disease epidemic model with the impact of vaccination,” Adv. Differ. Equ., Jan. 2020, Art. no. 34.
P. G. Smith, “Concepts of herd protection and immunity,” Proc. Vaccinol., vol. 2, no. 2, pp. 134–139, 2010.
T. Changpuek, P. Pongsumpun, and I. M. Tang, “Analysis of mathematical model for swine flu transmission by age group,” Far East J. Math. Sci. (FJMS), vol. 73, no. 2, pp. 201–229, 2013.
W. Mumtong, P. Pongsumpun, and I. M. Tang, “Analysis of model for menstrual cycle with the effect of body mass index,” Far East J. Math. Sci. (FJMS), vol. 93, no. 2, pp. 243–266, 2014.