The Solution of a Mathematical Model for Dengue Fever Transmission Using Differential Transformation Method

Eguda, Felix Yakubu; James, Andrawus; Babuba, Sunday

doi:10.46481/jnsps.2019.18

Cited by 6 publications

(2 citation statements)

References 6 publications

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“…Mathematical models are a great way to study the transmission and control of contagious illnesses (see the models in [6,[11][12][13][14][15][16][17]). A number of researchers have developed mathematical models to examine the transmission and control of coronavirus disease in a number of nations.…”

Section: Introductionmentioning

confidence: 99%

Modelling the transmission dynamics of Omicron variant of COVID-19 in densely populated city of Lagos in Nigeria

Bolaji

Omede

Odionyenma³

et al. 2023

J. Nig. Soc. Phys. Sci.

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The kernel of the work in this article is the proposition of a model to examine the effect of control measures on the transmission dynamics of Omicron variant of coronavirus disease in the densely populated metropolis of Lagos. Data as relate to the pandemic was gathered as officially released by the Nigerian authority. We make use of this available data of the disease from 1st of December, 2021 to 20th of January, 2022 when omicron variant was first discovered in Nigeria. We computed the basic reproduction number, an epidemiological threshold useful for bringing the disease under check in the aforementioned geographical region of the country. Furthermore, a forecasting tool was derived, for making forecasts for the cumulative number of cases of infection as reported and the number of individuals where the Omicron variant of COVID-19 infection is active for the deadly disease. We carried out numerical simulations of the model using the available data so gathered to show the effects of non-pharmaceutical control measures such as adherence to common social distancing among individuals while in public space, regular use of face masks, personal hygiene using hand sanitizers and periodic washing of hands with soap and pharmaceutical control measures, case detecting via contact tracing occasioning clinical testing of exposed individuals, on the spread of Omicron variant of COVID-19 in the city. The results from the numerical simulations revealed that if detection rate for the infected people can be increased, with majority of the population adequately complying with the safety protocols strictly, then there will be a remarkable reduction in the number of people being afflicted by the scourge of the highly communicable disease in the city.

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Section: Introductionmentioning

confidence: 99%

Modelling the transmission dynamics of Omicron variant of COVID-19 in densely populated city of Lagos in Nigeria

Bolaji

Omede

Odionyenma³

et al. 2023

J. Nig. Soc. Phys. Sci.

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“…Some researches on snake venom focused on the use of venom toxins to control infections such as protozoal infections, cancers, and so on (see for instance [49,50,51,52,53] and references therein). Numerous population-based mathematical models have been developed to study the transmission dynamics and control of neglected tropical diseases and other diseases (see, for instance, [54,55,56,57,58,59,60] and references therein). Also, several in-host mathematical models for diseases such as HIV, HBV, HCV, Chagas disease, etc.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model of In-host Dynamics of Snakebite Envenoming

Abdullahi

Hussaini

Habib

2022

J. Nig. Soc. Phys. Sci.

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In this paper, we develop an in-host mathematical model of snakebite envenoming that includes tissue, red blood and platelet cells of humans as specific targets of different kinds of toxins in the snake venom. The model is use to study some harmful effects of cytotoxic and hemotoxic snake venom on their target cells under the influence of snake antivenom. The model has two equilibrium points, namely, trivial and venom free. It has been shown that both the equilibrium points are globally asymptotically stable and numerical simulations illustrate the global asymptotic stability of the venom free equilibrium point. Furthermore, simulations reveal the importance of administering antivenom to avert the possible damage from venom toxins on the target cells. It is also shown through simulation that administering the required dose of antivenom can lead to the elimination of venom toxins within one week. Therefore, we recommend the administration of an adequate dose of antivenom therapy as it helps in deactivating venom toxins faster and consequently enhances the recovery time.

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