6533b7d6fe1ef96bd1266dd3
RESEARCH PRODUCT
Probabilistic stability analysis of social obesity epidemic by a delayed stochastic model
Francisco-josé SantonjaLeonid Shaikhetsubject
Equilibrium pointMathematical optimizationStochastic modellingApplied MathematicsLinear systemGeneral EngineeringProbabilistic logicZero (complex analysis)Computer Science::Social and Information NetworksGeneral MedicineQuantitative Biology::OtherStability (probability)Computational MathematicsNonlinear systemApplied mathematicsEpidemic modelGeneral Economics Econometrics and FinanceAnalysisMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-06-01 | Nonlinear Analysis: Real World Applications |