Open AccessOn The Stability of the Obesity Epidemic Model and Many Similar Other: A Survey of Some Applications of One Method
Publication year - 2019
Publication title -
international journal of diabetes and metabolic disorders
Language(s) - English
Resource type - Journals
ISSN - 2475-5451
DOI - 10.33140/ijdmd.04.02.06
Subject(s) - stability (learning theory) , epidemic model , nonlinear system , mathematics , type (biology) , consumption (sociology) , differential equation , mathematical economics , econometrics , economics , computer science , ecology , biology , mathematical analysis , demography , population , physics , sociology , social science , quantum mechanics , machine learning
Social obesity epidemic model is described by the system of threenon-linear integro-differential equations with the order of nonlinearityhigher than one and with distributed delays [1]. The proposedmethod of stability investigation of equilibrium points of systemsof such type by stochastic perturbations is general enough and canbe used for stability investigation of equilibriums of many othersimilar systems in different applications: the alcohol consumptionmodel, SIR epidemic model, models of the type of predator-prey,Nicholson's blowies equation, virus dynamics, mosquito and glassywinged sharpshooter populations, cancer treatment model, model ofe-commerce, well known in economics neoclassical growth modeland many-many similar other [2-15].