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Analysis of a dengue disease model with nonlinear incidence - MaRDI portal

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

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scientific article; zbMATH DE number 6175070
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Analysis of a dengue disease model with nonlinear incidence
scientific article; zbMATH DE number 6175070

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    Analysis of a dengue disease model with nonlinear incidence (English)
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    13 June 2013
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    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.
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