Analysis of a dengue disease model with nonlinear incidence (Q1956035)

Summary: A dengue disease epidemic model with nonlinear incidence is formulated and analyzed. The equilibria and thresholds of the model are found. The stability of the system is analyzed through a geometric approach to stability. The proposed model also exhibits backward bifurcations under suitable conditions on the parameters. Our results imply that a nonlinear incidence produces rich dynamics and should be studied carefully in order to analyze the spread of disease more accurately. Finally, numerical simulations are presented to illustrate the analytical findings.