Modeling of internal and external factors affecting a complex dengue network

•Formulation of the model and its analyses are presented. Dengue virus control strategies are proposed.•Some internal and external factors have been determined which influence the dengue epidemic network.•An internal exposure in the dengue epidemic network has been mathematically modelled.•Suppression of Aedes aegypti network has been shown through mathematical simulation results.•The mathematical modelling and its outcomes are important for researchers, health officials and decision makers who deal with the arbovirus epidemics, like Zika virus. This modelling can be useful for COVID-19. There are different factors that are the cause of abrupt spread of arbovirus. We modelled the factors (internal & external) that can increase the diffusion of dengue virus and observed their effects. These factors have influenced on the Aedes aegypti (a dengue virus carrier); factors which increase the dengue transmission. Interestingly, there are some factors that can suppress the Aedes aegypti. The species of Aedes aegypti formalizes its own network by which dengue virus is spread. Internal & external exposures of the dengue epidemic complex network have been modelled and analyzed. Influence of internal and external diffusion with two scenarios has been discussed. ‘Genetically modified mosquito’ technique has been applied and its associated simulated results are discussed. From the outcomes, the best time duration to contain the spread of dengue virus has been proposed, and our simulation model showed the possibility of suppressing the Aedes aegypti network.