<b>Mathematical Modelling of the Causes, Dynamic Transmission and Control of Malaria Disease </b>

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Mathematical Modelling of the Causes, Dynamic Transmission and Control of Malaria Disease

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Author(s): Akpusugh Verse Ephraim Odvese ¹ ^,

Publication date (Electronic preprint): 4 November 2024

Journal: ScienceOpen Preprints

Publisher: ScienceOpen

Keywords: Malaria, Equilibrium Points, Numerical Simulation, Endemic Model, Reproduction Number, Epidemiology , Endemic Equilibrium , Disease-Free Equilibrium , Stability , Eigenvalue

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Author and article information

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Title: ScienceOpen Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 4 November 2024

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[1 ] Department of Mathematics , Federal University of Technology Minna, Nigeria.;

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[* ]Email: akpusughephraim@ 123456gmail.com .

Author information

Akpusugh Verse Ephraim Odvese https://orcid.org/0009-0002-9520-4868

Article

DOI: 10.14293/PR2199.001252.v1

SO-VID: c21e1988-37e0-4e9b-bfa2-088a21a4b20c

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This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

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Date received : 4 November 2024

References

Adeniyi Michael O., Aderele Oluwaseun R., Oludoun Olajumoke Y., Ekum Matthew I., Matadi Maba B., Oke Segun I., Ntiamoah Daniel. A mathematical and exploratory data analysis of malaria disease transmission through blood transfusion. Frontiers in Applied Mathematics and Statistics. Vol. 9:2023. Frontiers Media SA. [Cross Ref]
Adom-Konadu Agnes, Yankson Ernest, Naandam Samuel M., Dwomoh Duah. A Mathematical Model for Effective Control and Possible Eradication of Malaria. Journal of Mathematics. Vol. 2022(1)2022. Wiley. [Cross Ref]
Aldila Dipo, Angelina Michellyn. Optimal control problem and backward bifurcation on malaria transmission with vector bias. Heliyon. Vol. 7(4)2021. Elsevier BV. [Cross Ref]
Al Basir Fahad, Abraha Teklebirhan. Mathematical Modelling and Optimal Control of Malaria Using Awareness-Based Interventions. Mathematics. Vol. 11(7)2023. MDPI AG. [Cross Ref]
Gutema Edossa Dereje, Geleta Wedajo Alemu, Rao Koya Purnachandra. Modelling the Dynamics of Endemic Malaria Disease with Imperfect Quarantine and Optimal Control. Mathematical Modelling and Applications. Vol. 6(2)2021. Science Publishing Group. [Cross Ref]
Fatmawati, Herdicho Faishal Farrel, Windarto, Chukwu Williams, Tasman Hengki. An optimal control of malaria transmission model with mosquito seasonal factor. Results in Physics. Vol. 25:2021. Elsevier BV. [Cross Ref]
Abay Gebremeskel Abadi. Mathematical Modelling of Endemic Malaria Transmission. American Journal of Applied Mathematics. Vol. 3(2)2015. Science Publishing Group. [Cross Ref]
Gwarinda Hazel B., Tessema Sofonias K., Raman Jaishree, Greenhouse Bryan, Birkholtz Lyn-Marié. Parasite genetic diversity reflects continued residual malaria transmission in Vhembe District, a hotspot in the Limpopo Province of South Africa. Malaria Journal. Vol. 20(1)2021. Springer Science and Business Media LLC. [Cross Ref]
Ijaz Khan M., Al-Khaled Kamel, Raza Ali, Khan Sami Ullah, Omar Jiyan, Galal Ahmed M.. Mathematical and numerical model for the malaria transmission: Euler method scheme for a malarial model. International Journal of Modern Physics B. Vol. 37(16)2023. World Scientific Pub Co Pte Ltd. [Cross Ref]
Tadege Kobe Fekadu. Mathematical Model of Controlling the Spread of Malaria Disease Using Intervention Strategies. Pure and Applied Mathematics Journal. Vol. 9(6)2020. Science Publishing Group. [Cross Ref]
Kokwaro Gilbert. Ongoing challenges in the management of malaria. Malaria Journal. Vol. 8(S1)2009. Springer Science and Business Media LLC. [Cross Ref]
Mohammed-Awel Jemal, Numfor Eric, Zhao Ruijun, Lenhart Suzanne. A new mathematical model studying imperfect vaccination: Optimal control analysis. Journal of Mathematical Analysis and Applications. Vol. 500(2)2021. Elsevier BV. [Cross Ref]
Noeiaghdam Samad, Micula Sanda. Dynamical Strategy to Control the Accuracy of the Nonlinear Bio-Mathematical Model of Malaria Infection. Mathematics. Vol. 9(9)2021. MDPI AG. [Cross Ref]
Pandey Ritesh. Mathematical Model for Malaria Transmission and Chemical Control with Human-Related Activities. National Academy Science Letters. Vol. 43(1):59–65. 2020. Springer Science and Business Media LLC. [Cross Ref]
Rezapour Shahram, Etemad Sina, Asamoah Joshua Kiddy K., Ahmad Hijaz, Nonlaopon Kamsing. A mathematical approach for studying the fractal-fractional hybrid Mittag-Leffler model of malaria under some control factors. AIMS Mathematics. Vol. 8(2):3120–3162. 2023. American Institute of Mathematical Sciences (AIMS). [Cross Ref]
Singh Ram, Ali Shoket, Jain Madhu, Raina Ather Aziz. Mathematical model for malaria with mosquito-dependent coefficient for human population with exposed class. Journal of the National Science Foundation of Sri Lanka. Vol. 47(2)2019. Sri Lanka Journals Online (JOL). [Cross Ref]
Traoré Bakary, Koutou Ousmane, Sangaré Boureima. A global mathematical model of malaria transmission dynamics with structured mosquito population and temperature variations. Nonlinear Analysis: Real World Applications. Vol. 53:2020. Elsevier BV. [Cross Ref]
Zhao Zhihong, Shaochun Shaochun, Lu Yulan. Mathematical models for the transmission of malaria with seasonality and ivermectin. Electronic Journal of Differential Equations. Vol. 2022(01-87)2022. Texas State University. [Cross Ref]

Comments

Comment on this article

[1] Adeniyi Michael O., Aderele Oluwaseun R., Oludoun Olajumoke Y., Ekum Matthew I., Matadi Maba B., Oke Segun I., Ntiamoah Daniel. A mathematical and exploratory data analysis of malaria disease transmission through blood transfusion. Frontiers in Applied Mathematics and Statistics. Vol. 9:2023. Frontiers Media SA. [Cross Ref]

[2] Adom-Konadu Agnes, Yankson Ernest, Naandam Samuel M., Dwomoh Duah. A Mathematical Model for Effective Control and Possible Eradication of Malaria. Journal of Mathematics. Vol. 2022(1)2022. Wiley. [Cross Ref]

[3] Aldila Dipo, Angelina Michellyn. Optimal control problem and backward bifurcation on malaria transmission with vector bias. Heliyon. Vol. 7(4)2021. Elsevier BV. [Cross Ref]

[4] Al Basir Fahad, Abraha Teklebirhan. Mathematical Modelling and Optimal Control of Malaria Using Awareness-Based Interventions. Mathematics. Vol. 11(7)2023. MDPI AG. [Cross Ref]

[5] Gutema Edossa Dereje, Geleta Wedajo Alemu, Rao Koya Purnachandra. Modelling the Dynamics of Endemic Malaria Disease with Imperfect Quarantine and Optimal Control. Mathematical Modelling and Applications. Vol. 6(2)2021. Science Publishing Group. [Cross Ref]

[6] Fatmawati, Herdicho Faishal Farrel, Windarto, Chukwu Williams, Tasman Hengki. An optimal control of malaria transmission model with mosquito seasonal factor. Results in Physics. Vol. 25:2021. Elsevier BV. [Cross Ref]

[7] Abay Gebremeskel Abadi. Mathematical Modelling of Endemic Malaria Transmission. American Journal of Applied Mathematics. Vol. 3(2)2015. Science Publishing Group. [Cross Ref]

[8] Gwarinda Hazel B., Tessema Sofonias K., Raman Jaishree, Greenhouse Bryan, Birkholtz Lyn-Marié. Parasite genetic diversity reflects continued residual malaria transmission in Vhembe District, a hotspot in the Limpopo Province of South Africa. Malaria Journal. Vol. 20(1)2021. Springer Science and Business Media LLC. [Cross Ref]

[9] Ijaz Khan M., Al-Khaled Kamel, Raza Ali, Khan Sami Ullah, Omar Jiyan, Galal Ahmed M.. Mathematical and numerical model for the malaria transmission: Euler method scheme for a malarial model. International Journal of Modern Physics B. Vol. 37(16)2023. World Scientific Pub Co Pte Ltd. [Cross Ref]

[10] Tadege Kobe Fekadu. Mathematical Model of Controlling the Spread of Malaria Disease Using Intervention Strategies. Pure and Applied Mathematics Journal. Vol. 9(6)2020. Science Publishing Group. [Cross Ref]

[11] Kokwaro Gilbert. Ongoing challenges in the management of malaria. Malaria Journal. Vol. 8(S1)2009. Springer Science and Business Media LLC. [Cross Ref]

[12] Mohammed-Awel Jemal, Numfor Eric, Zhao Ruijun, Lenhart Suzanne. A new mathematical model studying imperfect vaccination: Optimal control analysis. Journal of Mathematical Analysis and Applications. Vol. 500(2)2021. Elsevier BV. [Cross Ref]

[13] Noeiaghdam Samad, Micula Sanda. Dynamical Strategy to Control the Accuracy of the Nonlinear Bio-Mathematical Model of Malaria Infection. Mathematics. Vol. 9(9)2021. MDPI AG. [Cross Ref]

[14] Pandey Ritesh. Mathematical Model for Malaria Transmission and Chemical Control with Human-Related Activities. National Academy Science Letters. Vol. 43(1):59–65. 2020. Springer Science and Business Media LLC. [Cross Ref]

[15] Rezapour Shahram, Etemad Sina, Asamoah Joshua Kiddy K., Ahmad Hijaz, Nonlaopon Kamsing. A mathematical approach for studying the fractal-fractional hybrid Mittag-Leffler model of malaria under some control factors. AIMS Mathematics. Vol. 8(2):3120–3162. 2023. American Institute of Mathematical Sciences (AIMS). [Cross Ref]

[16] Singh Ram, Ali Shoket, Jain Madhu, Raina Ather Aziz. Mathematical model for malaria with mosquito-dependent coefficient for human population with exposed class. Journal of the National Science Foundation of Sri Lanka. Vol. 47(2)2019. Sri Lanka Journals Online (JOL). [Cross Ref]

[17] Traoré Bakary, Koutou Ousmane, Sangaré Boureima. A global mathematical model of malaria transmission dynamics with structured mosquito population and temperature variations. Nonlinear Analysis: Real World Applications. Vol. 53:2020. Elsevier BV. [Cross Ref]

[18] Zhao Zhihong, Shaochun Shaochun, Lu Yulan. Mathematical models for the transmission of malaria with seasonality and ivermectin. Electronic Journal of Differential Equations. Vol. 2022(01-87)2022. Texas State University. [Cross Ref]

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