The effect of incidence function in backward bifurcation for malaria model with temporary immunity

2015/04/26 by Pariyaporn Roop-O, Wirawan Chinviriyasit, Settapat Chinviriyasit · 46 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Applied mathematics #Basic reproduction number #Bifurcation #Biology #Demography #Ecology #Epidemic model #Evolution and Genetic Dynamics #Fractional Differential Equations Solutions #Immunology #Incidence (geometry) #Malaria #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear system #Physics #Population #Reproduction

paper · doi:10.1016/j.mbs.2015.04.008

published in Mathematical Biosciences 265, 47-64 (Elsevier BV)

openalex publication_date 2015/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• Backward bifurcations in dengue transmission dynamics
• A generalization of the Kermack-McKendrick deterministic epidemic model
• The differential infectivity and staged progression models for the transmission of HIV
• Stability and bifurcation analysis of a vector-bias model of malaria transmission
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Analysis of SIR epidemic models with nonlinear incidence rate and treatment

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• Unravelling the dynamics of the COVID-19 pandemic with the effect of vaccination, vertical transmission and hospitalization. [europepmc]
• An Optimal Control Model to Understand the Potential Impact of the New Vaccine and Transmission-Blocking Drugs for Malaria: A Case Study in Papua and West Papua, Indonesia. [europepmc]
• COVID-19 Model with High- and Low-Risk Susceptible Population Incorporating the Effect of Vaccines. [europepmc]
• Modeling the dynamics of COVID-19 with real data from Thailand. [europepmc]
• Population heterogeneity in vaccine coverage impacts epidemic thresholds and bifurcation dynamics. [europepmc]