A new approach to pair approximation method for spatial model in ecology
WSEAS Transactions on Mathematics
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The transmission of dengue disease is studied through mathematical model. This disease is transmitted between two people by biting of infectious Aedes aegypti mosquitoes. After infected with dengue virus, both human and vector populations become to be infected class before to be infectious class. Only infectious class can transmit dengue virus to susceptible class. The original SIR(Susceptible-Infectious-Recovered) model can not describe the difference between infected and infectious classes. Thus the modified model is considered in this study. This model is formulated by separating the human population into susceptible, infected, infectious and recovered classes. The vector population is divided into susceptible, infected and infectious classes. The dynamical analysis method is used for analyzing this modified model. We confirm these results by using numerical results. We found that the infected class reduces the periods of oscillations in the population.