Simple discrete-time malarial models

DOI10.1080/10236198.2012.672566zbMath1262.39020OpenAlexW2042650720MaRDI QIDQ4916375

Jia Li

Publication date: 22 April 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.672566

zbMATH Keywords

stabilityperiod-doubling bifurcationmosquito population modelsRicker-type nonlinearityBeverton-Holt-type nonlinearitydiscrete-time malaria models

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Ecology (92D40) General biology and biomathematics (92B05) Stability theory for difference equations (39A30) Applications of difference equations (39A60)

Related Items (6)

Some mathematical tools for modelling malaria: a subjective survey ⋮ Use of age-stage structural models to seek optimal \textit{Wolbachia}-infected male mosquito releases for mosquito-borne disease control ⋮ Discrete-time model for malaria transmission with constant releases of sterile mosquitoes ⋮ Backward bifurcation in a malaria transmission model ⋮ Discrete-time models for releases of sterile mosquitoes with Beverton-Holt-type of survivability ⋮ ModelingWolbachiainfection in mosquito population via discrete dynamical models

Cites Work

• A stochastic population dynamics model for Aedes Aegypti: formulation and application to a city with temperate climate
• On the population dynamics of the malaria vector
• A malaria model with partial immunity in humans
• Some discrete-time SI, SIR, and SIS epidemic models
• A mathematical model for endemic malaria with variable human and mosquito populations
• Discrete-time S-I-S models with complex dynamics.
• Modelling the dynamics of endemic malaria in growing populations
• Malaria model with stage-structured mosquitoes
• Comparison of deterministic and stochastic SIS and SIR models in discrete time
• An extended discrete Ricker population model with Allee effects
• The basic reproduction number in some discrete-time epidemic models
• A mathematical model for the dynamics of malaria in mosquitoes feeding on a heterogeneous host population

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