Mathematical Modelling of Endemic Malaria Transmission

Gebremeskel, Abadi Abay; Krogstad, Harald E.

doi:10.11648/j.ajam.20150302.12

Cited by 28 publications

(17 citation statements)

References 17 publications

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“…Malaria has been a major human health problem that threatens the lives of about 40% of the World's population [1], causing morbidity and mortality worldwide [2]. It is endemic in 100 countries making about half of the world's population to be at risk [3].…”

Section: Introductionmentioning

confidence: 99%

Effects of Malaria Infection on some Haematological and Biochemical Parameters in the General Population and Pregnant Malaria Patients Attending Two District Hospitals in Niger State, Nigeria

Adamu¹

2019

Glob J Infect Dis Clin Res

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The effects of malaria on some haematological and biochemical parameters among males, pregnant and non-pregnant female patients attending district hospitals in Bida and Kagara areas of Niger State, Nigeria was investigated. The subjects were volunteers confi rmed to be positive for malaria and without other clinical symptoms. A total of 231 patients (103 males and 128 females) within the age range of 1-50 years were studied. Fifty (20 males and 30 females) apparently healthy individuals in the similar age bracket were used as controls. Haematological and biochemical parameters were analyzed using standard methods. Overall, the reduction in haemoglobin concentration and packed cell volume (PCV) in patients were signifi cantly higher/lower from non-infected patients (p>0.05), while there was no signifi cant differences observed in the male patients. The mean cell haemoglobin concentration (MCHC) (36.03 ± 1.29g/dl) in pregnant subjects was signifi cantly higher (p<0.05) compared to the non-infected pregnant control group (32.65 ± 0.46g/dl). There was a signifi cant reduction in neutrophils but increase in lymphocytes in all subjects irrespective of sex. Non-signifi cant (p>0.05) increase existed in serum lipid levels among pregnant and non-pregnant women. When males and females were compared, serum lipids except triglycerides varied signifi cantly. There were apparently no variations in glucose levels between pregnant and nonpregnant subjects, whereas males had signifi cantly higher values. Some of these parameters can thus be useful tools in the monitoring and management of malaria.

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Section: Introductionmentioning

confidence: 99%

Effects of Malaria Infection on some Haematological and Biochemical Parameters in the General Population and Pregnant Malaria Patients Attending Two District Hospitals in Niger State, Nigeria

Adamu¹

2019

Glob J Infect Dis Clin Res

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“…Tumwiine et al [13] define the reproduction number, 0 , and show the existence and stability of the disease-free equilibrium and an endemic equilibrium. Recently, many works on host-vector interaction models have been done in [14][15][16][17][18][19][20][21][22][23][24]. In [18,20,22,25], global stability of equilibria has been investigated using suitable Lyapunov functions; and their results show that the disease-free and endemic equilibrium points become globally asymptotically stable if 0 ≤ 1 and 0 > 1, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by the above studies, we extend the model presented in [14] by taking into account a logistic model with population dependent birth rates for both human and vector populations that describes self-limiting growth of both the human host and mosquito vector populations. We consider logistic malaria model as no population can grow exponentially at all time, in general.…”

Section: Introductionmentioning

confidence: 99%

Global Stability of Malaria Transmission Dynamics Model with Logistic Growth

Gebremeskel

2018

Discrete Dynamics in Nature and Society

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Mathematical models become an important and popular tools to understand the dynamics of the disease and give an insight to reduce the impact of malaria burden within the community. Thus, this paper aims to apply a mathematical model to study global stability of malaria transmission dynamics model with logistic growth. Analysis of the model applies scaling and sensitivity analysis and sensitivity analysis of the model applied to understand the important parameters in transmission and prevalence of malaria disease. We derive the equilibrium points of the model and investigated their stabilities. The results of our analysis have shown that if 0 ≤ 1, then the disease-free equilibrium is globally asymptotically stable, and the disease dies out; if 0 > 1, then the unique endemic equilibrium point is globally asymptotically stable and the disease persists within the population. Furthermore, numerical simulations in the application of the model showed the abrupt and periodic variations.

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“…In order to simplify and analyze the zika model in system (1-6) we work with fractional quantities instead of actual populations by scaling the population of each class by the total species population as papers [4,8,11] …”

Section: Scaling Of the Modelmentioning

confidence: 99%

The Impact of Infective Immigrants on the Spread and Dynamics of Zika Viruss

Ayana¹

2017

AJAM

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Abstract:In this paper, a compartment model has been built, presented and investigated the dynamics and spread of zika virus in both human and mosquito populations. It is focused to study the impact of symptomatic and asymptomatic infective immigrants on the spread of zika virus. A new mathematical model for human and model for vector population has been designed and presented. Here is symptomatic infective and is asymptomatic infective human populations. The present model is developed making some reasonable modifications in the corresponding epidemic model by considering symptomatic and asymptomatic infective immigrants. Susceptible vectors get infection either from symptomatic or asymptomatic infected human populations. The basic reproduction number is derived using the next generation matrix method. Disease free equilibrium point is found and endemic equilibrium state is identified. It is shown that the disease free equilibrium point is locally and globally asymptotically stable if the reproduction number takes a value less than one unit and unstable if it is more than one unit. Simulation study is conducted using MATLAB ode45.

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Mathematical Modelling of Endemic Malaria Transmission

Cited by 28 publications

References 17 publications

Effects of Malaria Infection on some Haematological and Biochemical Parameters in the General Population and Pregnant Malaria Patients Attending Two District Hospitals in Niger State, Nigeria

Effects of Malaria Infection on some Haematological and Biochemical Parameters in the General Population and Pregnant Malaria Patients Attending Two District Hospitals in Niger State, Nigeria

Global Stability of Malaria Transmission Dynamics Model with Logistic Growth

The Impact of Infective Immigrants on the Spread and Dynamics of Zika Viruss

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