Defterli, OzlemDefterli, ÖzlemMatematik2021-02-172021-02-172020Defterli, Özlem (2020). "International Journal of Optimization and Control: Theories and Applications", International Journal of Optimization and Control: Theories and Applications, Vol. 10, No. 1, pp. 85-93.2146-09572146-5703https://doi.org/10.11121/ijocta.01.2020.00862A dengue epidemic model with fractional order derivative is formulated to an-alyze the effect of temperature on the spread of the vector-host transmitted dengue disease. The model is composed of a system of fractional order differ-ential equations formulated within Caputo fractional operator. The stability of the equilibrium points of the considered dengue model is studied. The cor-responding basic reproduction number R alpha 0 is derived and it is proved that if R alpha 0 < 1, the disease-free equilibrium (DFE) is locally asymptotically stable. L1 method is applied to solve the dengue model numerically. Finally, numerical simulations are also presented to illustrate the analytical results showing the influence of the temperature on the dynamics of the vector-host interaction in dengue epidemics.eninfo:eu-repo/semantics/openAccessFractional OperatorsStability Of The EquilibriaDengue EpidemicsTemperature EffectArticle101859310.11121/ijocta.01.2020.008622-s2.0-85088553280WOS:000871121500011378105N/AQ2