Wang La-di
Abstract
Two epidemic models with nonlinear incidence rate are investigated. The thresholds of endemic equilibria are found. By constructing Dulac function and Liapunov functions, the necessary and sufficient conditions ensuring the global asymptotic stability of equilibriums are obtained.
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Two epidemic models with nonlinear incidence rate are investigated. The thresholds of endemic equilibria are found. By constructing Dulac function and Liapunov functions, the necessary and sufficient conditions ensuring the global asymptotic stability of equilibriums are obtained.
Key concepts: Mathematics, Nonlinear system, Liapunov function, Epidemic model, Exponential stability, Applied mathematics, Stability (learning theory), Incidence (geometry)