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Journal of Biological Dynamics Volume 3, 2009 - Issue 4
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Original Articles

Malaria model with periodic mosquito birth and death rates

Bassidy Dembele Department of Mathematics and Computer Science, Grambling State University, Grambling, LA, USA
,
Avner Friedman Mathematical Bioscience Institute, The Ohio State University, Columbus, OH, USA
&
Abdul-Aziz Yakubu Department of Mathematics, Howard University, Washington DC, USACorrespondence[email protected]
Pages 430-445 | Received 20 Feb 2008, Published online: 08 Jun 2009

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Asha Kalula, Eunice Mureithi, Theresia Marijani & Isambi Mbalawata. (2023) Optimal control and cost-effectiveness analysis of age-structured malaria model with asymptomatic carrier and temperature variability. Journal of Biological Dynamics 17:1.
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Traoré Bakary, Sangaré Boureima & Traoré Sado. (2018) A mathematical model of malaria transmission in a periodic environment. Journal of Biological Dynamics 12:1, pages 400-432.
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Articles from other publishers (18)

Homero G. Díaz-Marín & Osvaldo Osuna. (2023) Almost periodic stable Wolbachia-infected mosquito population replacement. Periodica Mathematica Hungarica 87:1, pages 182-204.
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M. Ijaz Khan, Kamel Al-Khaled, Ali Raza, Sami Ullah Khan, Jiyan Omar & Ahmed M. Galal. (2022) Mathematical and numerical model for the malaria transmission: Euler method scheme for a malarial model. International Journal of Modern Physics B 37:16.
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Homero G. Díaz-Marín, Shaday Guerrero-Flores, Osvaldo Osuna & Geiser Villavicencio-Pulido. (2023) A Class of Mutualistic Systems Having an Almost Periodic Global Attractor. Differential Equations and Dynamical Systems.
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Díaz-Marín Homero, Osuna Osvaldo & Villavicencio-Pulido Geiser. (2022) An almost periodic model to describe phenology mismatches in mutualistic interactions. Theory in Biosciences 141:4, pages 375-388.
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Mahmoud A. Ibrahim & Attila Dénes. (2021) Threshold and stability results in a periodic model for malaria transmission with partial immunity in humans. Applied Mathematics and Computation 392, pages 125711.
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Ramsés Djidjou‐Demasse, Gbenga J. Abiodun, Abiodun M. Adeola & Joel O. Botai. (2019) Development and analysis of a malaria transmission mathematical model with seasonal mosquito life‐history traits. Studies in Applied Mathematics 144:4, pages 389-411.
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Salisu M. Garba & Usman A. Danbaba. (2020) Modeling the effect of temperature variability on malaria control strategies. Mathematical Modelling of Natural Phenomena 15, pages 65.
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Bevina D. Handari, Febyan Vitra, Radhiya Ahya, Tengku Nadya S.Dipo Aldila. (2019) Optimal control in a malaria model: intervention of fumigation and bed nets. Advances in Difference Equations 2019:1.
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Steffen E. Eikenberry & Abba B. Gumel. (2018) Mathematical modeling of climate change and malaria transmission dynamics: a historical review. Journal of Mathematical Biology 77:4, pages 857-933.
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Moussa Doumbia & Abdul-Aziz Yakubu. (2017) Malaria incidence and anopheles mosquito density in irrigated and adjacent non-irrigated villages of Niono in Mali. Discrete and Continuous Dynamical Systems - Series B 22:3, pages 841-857.
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Robert C. ReinerJr.Jr., Matthew Geary, Peter M. Atkinson, David L. Smith & Peter W. Gething. (2015) Seasonality of Plasmodium falciparum transmission: a systematic review. Malaria Journal 14:1.
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Daozhou Gao, Yijun Lou & Shigui Ruan. (2014) A periodic Ross-Macdonald model in a patchy environment. Discrete & Continuous Dynamical Systems - B 19:10, pages 3133-3145.
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Karen Yokley, J. Todd Lee, Amanda Brown, Mary Minor & Gregory Mader. (2014) A simple agent-based model of malaria transmission investigating intervention methods and acquired immunity. Involve, a Journal of Mathematics 7:1, pages 15-40.
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Avner Friedman & Abdul-Aziz Yakubu. (2013) A Bovine Babesiosis Model with Dispersion. Bulletin of Mathematical Biology 76:1, pages 98-135.
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Avner Friedman. 2013. Mathematical Methods and Models in Biomedicine. Mathematical Methods and Models in Biomedicine 389 410 .
Harsh Vardhan Jain & Helen M. Byrne. (2012) Qualitative analysis of an integro-differential equation model of periodic chemotherapy. Applied Mathematics Letters 25:12, pages 2132-2136.
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Bassidy Dembele & Abdul-Aziz Yakubu. (2012) Optimal treated mosquito bed nets and insecticides for eradication of malaria in Missira. Discrete and Continuous Dynamical Systems - Series B 17:6, pages 1831-1840.
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Bassidy Dembele, Avner Friedman & Abdul-Aziz Yakubu. (2009) Mathematical Model for Optimal Use of Sulfadoxine-Pyrimethamine as a Temporary Malaria Vaccine. Bulletin of Mathematical Biology 72:4, pages 914-930.
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