Dengue fever is a viral disease transmitted to humans by the bite of infected Aedes mosquitoes.
In recent years, the illness has grown to be a significant public health burden. Dengue sickness
has no effective therapy and no vaccination. Therefore, raising people's awareness of how
diseases spread can be extremely important in halting the development of the illness. The paper
discusses creating a compartmental diagram for human and mosquito populations, developing
mathematical models for dengue fever transmission, defining variables, and parameters. Using
compartmental mathematical models with ordinary differential equations for both human and
mosquito populations, the dynamics of the disease are investigated. The stability of the
equilibrium points of the SIR, SEIR, SIR-SI, and SEIR-SI models was analyzed by
considering that recovered patients could be reinfected with dengue. Using the Mathematica
program, the stability conditions were discussed, and we used some numerical values for the
various variables mentioned in some previous studies to determine the equilibrium points for
each model and clarify whether these equilibrium points were stable or unstable