scholarly journals Numerical simulation of malaria transmission model considering secondary infection

2020 ◽  
Keyword(s):  
Numerical Simulation ◽  
Malaria Transmission ◽  
Secondary Infection ◽  
Transmission Model

scholarly journals Mathematical Analysis of an Immune-structured Hikungunya Transmission Model

2019 ◽  
Vol 12 (4) ◽  
pp. 1533-1552
Author(s):  
Kambire Famane ◽  
Gouba Elisée ◽  
Tao Sadou ◽  
Blaise Some
Keyword(s):  
Numerical Simulation ◽  
Asymptotic Stability ◽  
Deterministic Model ◽  
Reproduction Number ◽  
Transmission Model ◽  
Acquired Immunity ◽  
Local Asymptotic Stability ◽  
Well Posed ◽  
Disease Free ◽  
The Basic Reproduction Number

In this paper, we have formulated a new deterministic model to describe the dynamics of the spread of chikunguya between humans and mosquitoes populations. This model takes into account the variation in mortality of humans and mosquitoes due to other causes than chikungunya disease, the decay of acquired immunity and the immune sytem boosting. From the analysis, itappears that the model is well posed from the mathematical and epidemiological standpoint. The existence of a single disease free equilibrium has been proved. An explicit formula, depending on the parameters of the model, has been obtained for the basic reproduction number R0 which is used in epidemiology. The local asymptotic stability of the disease free equilibrium has been proved. The numerical simulation of the model has confirmed the local asymptotic stability of the diseasefree equilbrium and the existence of endmic equilibrium. The varying effects of the immunity parameters has been analyzed numerically in order to provide better conditions for reducing the transmission of the disease.

scholarly journals Backward bifurcation in a malaria transmission model

2020 ◽  
Vol 14 (1) ◽  
pp. 368-388 ◽  
Author(s):  
Yanyuan Xing ◽  
Zhiming Guo ◽  
Jian Liu
Keyword(s):  
Malaria Transmission ◽  
Backward Bifurcation ◽  
Transmission Model

A Malaria Transmission Model Predicts Holoendemic, Hyperendemic, and Hypoendemic Transmission Patterns Under Varied Seasonal Vector Dynamics

2019 ◽  
Vol 57 (2) ◽  
pp. 568-584
Author(s):  
Vardayani Ratti ◽  
Dorothy I Wallace
Keyword(s):  
Steady State ◽  
Anopheles Gambiae ◽  
Malaria Transmission ◽  
Entomological Inoculation Rate ◽  
Disease Prevalence ◽  
Larval Habitat ◽  
Transmission Model ◽  
Habitat Availability ◽  
Human Populations ◽  
The Relationship

Abstract A model is developed of malaria (Plasmodium falciparum) transmission in vector (Anopheles gambiae) and human populations that include the capacity for both clinical and parasite suppressing immunity. This model is coupled with a population model for Anopheles gambiae that varies seasonal with temperature and larval habitat availability. At steady state, the model clearly distinguishes uns hypoendemic transmission patterns from stable hyperendemic and holoendemic patterns of transmission. The model further distinguishes hyperendemic from holoendemic disease based on seasonality of infection. For hyperendemic and holoendemic transmission, the model produces the relationship between entomological inoculation rate and disease prevalence observed in the field. It further produces expected rates of immunity and prevalence across all three endemic patterns. The model does not produce mesoendemic transmission patterns at steady state for any parameter choices, leading to the conclusion that mesoendemic patterns occur during transient states or as a result of factors not included in this study. The model shows that coupling the effect of varying larval habitat availability with the effects of clinical and parasite-suppressing immunity is enough to produce known patterns of malaria transmission.

Competitive exclusion in a multi-strain malaria transmission model with incubation period

2020 ◽  
Vol 131 ◽  
pp. 109545
Author(s):  
Tingting Zheng ◽  
Lin-Fei Nie ◽  
Zhidong Teng ◽  
Yantao Luo
Keyword(s):  
Malaria Transmission ◽  
Incubation Period ◽  
Competitive Exclusion ◽  
Transmission Model

A SEIR-SEI Malaria Transmission Model with Optimal Control

2018 ◽  
Vol 28 (6) ◽  
pp. 1-17
Author(s):  
Mojeeb AL-Rahman EL-Nor Osman ◽  
Appiagyei Ebenezer ◽  
Isaac Kwasi Adu
Keyword(s):  
Optimal Control ◽  
Malaria Transmission ◽  
Transmission Model

scholarly journals Human-vector malaria transmission model structured by age, time since infection and waning immunity

2022 ◽  
Vol 63 ◽  
pp. 103393
Author(s):  
Quentin Richard ◽  
Marc Choisy ◽  
Thierry Lefèvre ◽  
Ramsès Djidjou-Demasse
Keyword(s):  
Malaria Transmission ◽  
Transmission Model ◽  
Waning Immunity

scholarly journals Analysis of a Malaria Transmission Model in Children

2020 ◽  
Vol 24 (5) ◽  
pp. 789-798
Author(s):  
F.Y. Eguda ◽  
A.C. Ocheme ◽  
M.M. Sule ◽  
J. Andrawus ◽  
I.B. Babura
Keyword(s):  
Malaria Transmission ◽  
Compartmental Model ◽  
Reproduction Number ◽  
Backward Bifurcation ◽  
Transmission Model ◽  
Acquired Immunity ◽  
Asymptotically Stable ◽  
Threshold Parameter ◽  
Malaria Model ◽  
Disease Free

In this paper, a nine compartmental model for malaria transmission in children was developed and a threshold parameter called control reproduction number which is known to be a vital threshold quantity in controlling the spread of malaria was derived. The model has a disease free equilibrium which is locally asymptotically stable if the control reproduction number is less than one and an endemic equilibrium point which is also locally asymptotically stable if the control reproduction number is greater than one. The model undergoes a backward bifurcation which is caused by loss of acquired immunity of recovered children and the rate at which exposed children progress to the mild stage of infection. Keywords: Malaria, Model, Backward Bifurcation, Local Stability.

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