A Multistage Mosquito-Centred Mathematical Model for Malaria Dynamics that Captures Mosquito Gonotrophic Cycle Contributions to Its Population Abundance and Malaria Transmission

2020 ◽  
pp. 97-148 ◽  
Author(s):  
Miranda I. Teboh-Ewungkem ◽  
Gideon A. Ngwa ◽  
Mary Y. Fomboh-Nforba
Keyword(s):  
Mathematical Model ◽  
Malaria Transmission ◽  
Population Abundance ◽  
Gonotrophic Cycle

Development and analysis of a malaria transmission mathematical model with seasonal mosquito life‐history traits

2019 ◽  
Vol 144 (4) ◽  
pp. 389-411 ◽  
Author(s):  
Ramsés Djidjou‐Demasse ◽  
Gbenga J. Abiodun ◽  
Abiodun M. Adeola ◽  
Joel O. Botai
Keyword(s):  
Mathematical Model ◽  
Life History ◽  
Malaria Transmission ◽  
Life History Traits

INFLUENCE OF ASYMPTOMATIC PEOPLE ON MALARIA TRANSMISSION: A MATHEMATICAL MODEL FOR A LOW-TRANSMISSION AREA CASE

2020 ◽  
Vol 28 (01) ◽  
pp. 167-182
Author(s):  
IULIA MARTINA BULAI ◽  
STÉPHANIE DEPICKÈRE ◽  
VITOR HIRATA SANCHES
Keyword(s):  
Mathematical Model ◽  
Mortality Rate ◽  
Malaria Transmission ◽  
Equilibrium Points ◽  
Asymptomatic Infection ◽  
Human Populations ◽  
High Morbidity ◽  
Low Transmission ◽  
Transmission Area ◽  
Using Data

Malaria remains a primary parasitic disease in the tropical world, generating high morbidity and mortality in human populations. Recently, community surveys showed a high proportion of asymptomatic cases, which are characterized by a low parasitemia and a lack of malaria symptoms. Until now, the asymptomatic population is not treated for malaria and thus remains infective for a long time. In this paper, we introduce a four-dimensional mathematical model to study the influence of asymptomatic people on malaria transmission in low-transmission areas, specifically using data from Brazil. The equilibrium points of the system are calculated, and their stability is analyzed. Via numerical simulations, more in-depth analyzes of the space of some crucial parameters on the asymptomatic population are done, such as the per capita recovery rates of symptomatic and asymptomatic people, the ratio of the density of mosquitoes to that of humans, the mortality rate of mosquitoes and the probability of undergoing asymptomatic infection upon an infectious mosquito bite. Our results indicate that the disease-free equilibrium is inside the stability region if asymptomatic people are treated and/or the ratio of the density of mosquitoes to that of humans is decreased and/or the mortality rate of mosquitoes is increased.

Bifurcation Analysis of a Mathematical Model for Malaria Transmission

2006 ◽  
Vol 67 (1) ◽  
pp. 24-45 ◽  
Author(s):  
Nakul Chitnis ◽  
J. M. Cushing ◽  
J. M. Hyman
Keyword(s):  
Mathematical Model ◽  
Malaria Transmission ◽  
Bifurcation Analysis

A Simple SEIR Mathematical Model of Malaria Transmission

2017 ◽  
Vol 7 (3) ◽  
pp. 1-22 ◽  
Author(s):  
Mojeeb Osman ◽  
Isaac Adu ◽  
Cuihong Yang
Keyword(s):  
Mathematical Model ◽  
Malaria Transmission

scholarly journals Malaria transmission rates estimated from serological data

1993 ◽  
Vol 111 (3) ◽  
pp. 503-524 ◽  
Author(s):  
M. N. Burattini ◽  
E. Massad ◽  
F. A. B. Coutinho
Keyword(s):  
Mathematical Model ◽  
Malaria Transmission ◽  
Compartmental Model ◽  
Parasite Prevalence ◽  
Prevalence Data ◽  
Transmission Rates ◽  
Force Of Infection ◽  
Age Dependent ◽  
Serological Data

SummaryA mathematical model was used to estimate malaria transmission rates based on serological data. The model is minimally stochastic and assumes an age-dependent force of infection for malaria. The transmission rates estimated were applied to a simple compartmental model in order to mimic the malaria transmission.The model has shown a good retrieving capacity for serological and parasite prevalence data.

scholarly journals Control measures of malaria transmission in Rwanda based on SEIR SEI mathematical model

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Emmanuel Hakizimana ◽  
Jean Marie Ntaganda
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Malaria Transmission ◽  
Optimal Control Problems ◽  
Control Strategies ◽  
Control Measures ◽  
Bed Nets ◽  
Infected People ◽  
Insecticide Treated Bed Nets ◽  
Malaria Model

This research paper investigated the dynamics of malaria transmission in Rwanda using the nonlinear forces of infections which are included in SEIR-SEI mathematical model for human and mosquito populations. The mathematical modeling of malaria studies the interaction among the human and mosquito populations in controlling malaria transmission and eventually eliminating malaria infection. This work investigates the optimal control strategies for minimizing the rate of malaria transmission by applying three control variables through Caputo fractional derivative. The optimal control problems for malaria model found the control parameters which minimize infection. The numerical simulation showed that the number of exposed and infected people and mosquito population are decreased due to the control strategies. Finally, this work found out that the transmission of malaria in Rwanda can be minimized by using the combination of controls like Insecticide Treated bed Nets (ITNs), Indoor Residual Spray (IRS) and Artemisinin based Combination Therapies (ACTs).

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