Probabilistic stability analysis of social obesity epidemic by a delayed stochastic model |
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| Institution: | 1. Department of Statistics and Operational Research, University of Valencia, Spain;2. Department of Higher Mathematics, Donetsk State University of Management, Ukraine;1. Instituto Militar de Engenharia – IME, RJ, Brazil;2. Departamento de Matemática, Universidad del Bío Bío, Concepción, Chile;3. Laboratório Nacional de Computação Científica – LNCC, RJ, Brazil;1. School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, PR China;2. School of Mathematics and Information Science, Guangxi Colleges and Universities Key Lab of Complex System Optimization and Large Data Processing, Yulin Normal University, Yulin, Guangxi 537000, PR China;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 121589, Saudi Arabia;4. College of Science, China University of Petroleum (East China), Qingdao 266580, PR China;5. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan |
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| Abstract: | Sufficient conditions for stability in probability of the equilibrium point of a social obesity epidemic model with distributed delay and stochastic perturbations are obtained. The obesity epidemic model is demonstrated on the example of the Region of Valencia, Spain. The considered nonlinear system is linearized in the neighborhood of the positive point of equilibrium and a sufficient condition for asymptotic mean square stability of the zero solution of the constructed linear system is obtained. |
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