An sir epidemic model with time delay and general nonlinear incidence rate

HIGHLIGHTS

• who: Mingming, Li and Xianning, Liu from the School of Mathematics and Statistics, Southwest University, Chongqing, China have published the article: An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate, in the Journal: (JOURNAL) of 20/02/2014
• what: The authors show that the global asymptotic stability of the diseasefree equilibrium and the endemic equilibrium of model depend only on the basic reproductive number under some hypotheses. The authors propose the following conditions: (H4) 𝐹𝐼󸀠 (𝑆, 0) is increasing with respect to 𝑆 > 0. The authors propose the following hypotheses: (H7) 𝐼/𝐼* ≤ 𝐹(𝑆, 𝐼)/𝐹(𝑆, 𝐼* ) for 𝐼 ∈ (0, 𝐼* ), 𝐹(𝑆, 𝐼)/ 𝐹(𝑆, 𝐼* ) ≤ 𝐼/𝐼* for 𝐼 ≥ 𝐼*.
 



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