TY - JOUR
TI - Local stability of dengue model using the fractional order system with different memory effect on the host and vector population
AU - Hamdan Nur ‘Izzati
AU - Kilicman Adem
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 327
EP - 337
PT - Article
AB - In this study, we formulate a fractional order dengue model by considering  different order dynamics on human and mosquito population. The order of the  differential equation is associated with the index of memory. Both human and  mosquito carry a different value of order α to showcase the different  memory effect implies to each of them in the transmission process. Local  stability of the equilibria is obtained based on the threshold parameter  related to the basic reproduction number, denoted by R0. Finally, numerical  simulations of the model are conducted to study the dynamical behaviour of  the system.