Management strategies in a malaria model combining human and transmission-blocking vaccines

DOI10.3934/dcdsb.2017049zbMath1360.92109OpenAlexW2560655497WikidataQ60231164 ScholiaQ60231164MaRDI QIDQ524061

Ruijun Zhao, Eric Numfor, Jemal Mohammed-Awel, Suzanne M. Lenhart

Publication date: 25 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017049

zbMATH Keywords

stabilityoptimal controldifferential equationsmalariatransmission-blocking vaccine

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of optimal control and differential games (49N90) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (4)

Insecticide resistance and malaria control: a genetics-epidemiology modeling approach ⋮ Can insecticide resistance increase malaria transmission? A genetics-epidemiology mathematical modeling approach ⋮ A new mathematical model studying imperfect vaccination: optimal control analysis ⋮ Mathematics of an epidemiology-genetics model for assessing the role of insecticides resistance on malaria transmission dynamics

Cites Work

• Causes of backward bifurcations in some epidemiological models
• Periodic oscillations and backward bifurcation in a model for the dynamics of malaria transmission
• A metapopulation model for malaria with transmission-blocking partial immunity in hosts
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Mathematical study of the role of gametocytes and an imperfect vaccine on malaria transmission dynamics
• A mathematical model studying mosquito-stage transmission-blocking vaccines
• Optimal vaccination and bednet maintenance for the control of malaria in a region with naturally acquired immunity
• Mosquito-Stage-Structured Malaria Models and Their Global Dynamics
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