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

Jemal Mohammed-Awel, Ruijun Zhao, Eric Shu Numfor, Suzanne Lenhart

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We propose a new mathematical model studying control strategies of malaria transmission. The control is a combination of human and transmission-blocking vaccines and vector control (larvacide). When the disease induced death rate is large enough, we show the existence of a backward bifurcation analytically if vaccination control is not used, and numerically if vaccination is used. The basic reproduction number is a decreasing function of the vaccination controls as well as the vector control parameters, which means that any effort on these controls will reduce the burden of the disease. Numerical simulation suggests that the combination of the vaccinations and vector control may help to eradicate the disease. We investigate optimal strategies using the vaccinations and vector controls to gain qualitative understanding on how the combinations of these controls should be used to reduce disease prevalence in malaria endemic setting. Our results show that the combination of the two vaccination controls integrated with vector control has the highest impact on reducing the number of infected humans and mosquitoes.

Original languageEnglish (US)
Pages (from-to)977-1000
Number of pages24
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume22
Issue number3
DOIs
StatePublished - May 1 2017

Fingerprint

Malaria
Vaccines
Vaccination
Vaccine
Vector Control
Model
Backward Bifurcation
Integrated control
Basic Reproduction number
Optimal Strategy
Control Parameter
Strategy
Human
Control Strategy
Mathematical Model
Mathematical models
Numerical Simulation
Computer simulation

Keywords

  • Differential equations
  • Malaria
  • Optimal control
  • Stability
  • Transmission-blocking vaccine

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

Management strategies in a malaria model combining human and transmission-blocking vaccines. / Mohammed-Awel, Jemal; Zhao, Ruijun; Numfor, Eric Shu; Lenhart, Suzanne.

In: Discrete and Continuous Dynamical Systems - Series B, Vol. 22, No. 3, 01.05.2017, p. 977-1000.

Research output: Contribution to journalArticle

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