International Journal of Information Technology and Computer Science (IJITCS)
IJITCS Vol. 9, No. 7, 8 Jul. 2017
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Meta-Population Modelling and Simulation of the Dynamic of Malaria Transmission with Influence of Climatic Factors
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Author(s)
Justin-Herve NOUBISSI
1,*
Jean Claude Kamgang
2
Eric Ramat
3
Januarius Asongu
4
Christophe Cambier
5
Index Terms
Modelling, Simulation, Compartmental models, DEVS, Meta-population model, VLE
Abstract
We model the dynamic of malaria transmission taking into account climatic factors and the migration between Douala and Yaounde´, Yaounde´ and Ngaounde´re´, three cities of Cameroon country. We show how variations of climatic factors such as temperature and relative humidity affect the malaria spread. We propose a meta-population model of the dynamic transmission of malaria that evolves in space and time and that takes into account temperature and relative humidity and the migration between Douala and Yaounde´, Yaounde´ and Ngaounde´re´. More, we integrate the variation of environmental factors as events also called mathematical impulsion that can disrupt the model evolution at any time. Our modelling has been done using the Discrete EVents System Specification (DEVS) formalism. Our implementation has been done on Virtual Laboratory Environment (VLE) that uses DEVS formalism and abstract simulators for coupling models by integrating the concept of DEVS.
Cite This Paper
Justin-Herve NOUBISSI, Jean Claude Kamgang, Eric Ramat, Januarius Asongu, Christophe Cambier, "Meta-Population Modelling and Simulation of the Dynamic of Malaria Transmission with Influence of Climatic Factors", International Journal of Information Technology and Computer Science(IJITCS), Vol.9, No.7, pp.1-16, 2017. DOI:10.5815/ijitcs.2017.07.01
Reference
[1]R. S. Afrique, «Cartographie de la lutte contre le paludisme au cameroun,» 2008.
[2]R. Ronald, «The prevention of malaria,» John Murray, 1911.
[3]Keeling Matt J, Rohanni Pejman, «Modeling infectious diseases in humans and animals,» Princeton University Press, 2008.
[4]Mishra Bimal Kumar, Tyagi Indu, «Defending against malicious threats in wireless Sensor network: A mathematical model,» International Journal of Information Technology and Computer Science (IJITCS), vol. 6, pp. 12-19, 2014.
[5]J. M. M. Ondo, «Les aspects spatiaux dans la modélisation en épidémiologie,» Université de Grenoble, 2012.
[6]T. Berge, «Etude de quelques modèles épidémiologiques de métapopulations: application au paludisme et à la tuberculose,» Université de Lorraine, 2012.
[7]Lourenço Jose, Recker Mario, «Natural, persistent oscillations in a spatial multi-strain disease system with application to dengue,» PLoS Comput Biol, vol. 9, 2013.
[8]Gaaboub IA, El-Sawaf SK, El-Latif MA, «Effect of different relative humidities and temperatures on egg-production and longevity of adults of anopheles (myzomyia) pharoensis theob. 1,» Zeitschrift Fur Angewandte Entomologie, vol. 67, pp. 88-94, 1971.
[9]B. M. Nabie, «Studies on the development and survival of Anopheles gambiae sensu stricto at various temperatures and relative humidities,» Durham University, 2001.
[10]Liu Kun, Tsujimoto Hitoshi, Cha Sung-Jae, Agre Peter, Rasgon Jason L, «Aquaporin water channel agaqp1 in the malaria vector mosquito anopheles gambiae during blood feeding and humidity adaptation,» Proceedings of the National Academy of Sciences, vol. 108, pp. 6062-6066, 2011.
[11]Wang Mei-Hui, Marinotti Osvaldo, Vardo-Zalik Anne, Boparai Rajni, Yan Guiyun, «Genome-wide transcriptional analysis of genes associated with acute desiccation stress in Anopheles gambiae,» PLoS one, vol. 6, 2011.
[12]Churcher Thomas S, Trape Jean-François, Cohuet Anna, «Human-to-mosquito transmission efficiency increases as malaria is controlled,» Nature Communications, vol. 6, 2015.
[13]Pascual, Mercedes and Cazelles Bernard, Bouma MJ, Chaves LF, Koelle K, «Shifting patterns: malaria dynamics and rainfall variability in an African highland,» Proceedings of the Royal Society of London B: Biological Science, vol. 275, pp. 123-132, 2008.
[14]Yamana Teresa K, Eltahir Elfatih AB, «Incorporating the effects of humidity in a mechanistic model of Anopheles gambiae mosquito population dynamics in the Sahel region of Africa,» Parasit Vectors, vol. 6, p. 235, 2013.
[15]Gray Emilie M, Bradley Timothy J, «Physiology of desiccation resistance in Anopheles gambiae and Anopheles arabiensis,» The American journal of tropical medicine and hygiene, vol. 73, pp. 553-559, 2005.
[16]Gray Emilie M, Rocca Kyle AC, Costantini Carlo, Besansky Nora J, «Inversion 2La is associated with enhanced desiccation resistance in Anopheles gambiae,» Malaria journal, vol. 8, pp. 1-12, 2009.
[17]Martens WJ, Niessen Louis W, Rotmans Jan, Jetten Theo H, McMichael Anthony J, «Potential impact of global climate change on malaria risk,» Environmental health perspectives, vol. 103, p. 458, 1995.
[18]M. WJ, «Health impacts of climate change and ozone depletion: an ecoepidemiologic modeling approach,» Environmental Health Perspectives, vol. 106, p. 241, 1998.
[19]Hervy JP, Le Goff G, Geoffroy JP, Hervé L, Manga L, Brunhes J, «Les anophèles de la région Afro-tropicale. Logiciel d'identification et d'enseignement,» ORSTOM édition. série Didactique, 1998.
[20]M. d. l. S. publique, «Plan Stratégique National de Lutte contre le Paludisme au Cameroun 2007-2010,» Cameroun (in French, English), 2007.
[21]Antonio-Nkondjio Christophe, Fossog Billy Tene, Ndo Cyrille, Djantio Benjamin Menze, Togouet Serge Zebaze, Awono-Ambene Parfait, Costantini Carlo, Wondji Charles S, Ranson Hilary, «Anopheles gambiae distribution and insecticide resistance in the cities of Douala and Yaounde (Cameroon): influence of urban agriculture and pollution,» malaria Journal, vol. 10, p. 1, 2011.
[22]J. Messi, «Dynamics of malaria transmission in a forest-savannah transition zone, bini-dang, ngaoundere, cameroon,» International Journal of tropical Medecine, vol. 1, pp. 77-80, 2006.
[23]Arino Julien, Van Den Driessche Pauline, «The basic reproduction number in a multi-city compartmental epidemic model,» chez Positive Systems, Springer, 2003, pp. 135-142.
[24]Parham Paul E, Pople Diane, Christiansen-Jucht Céline, Lindsay Steve, Hinsley Wes, Michael Edwin, «Modeling the role of environmental variables on the population dynamics of the malaria vector Anopheles gambiae sensu stricto,» Malaria Journal, vol. 11, pp. 271-283, 2012.
[25]Lunde Torleif Markussen, Bayoh Mohamed Nabie, Lindtj{o}rn, Bernt, «How malaria models relate temperature to malaria transmission,» Parasit Vectors, vol. 6, pp. 1-10, 2013.
[26]Z. BP, «Theory of modeling and simulation,» Inc., New York, NY, 1976.
[27]Quesnel Gauthier, Duboz Raphael, Ramat, Eric, «The Virtual Laboratory Environment--An operational framework for multi-modelling, simulation and analysis of complex dynamical systems,» Simulation modelling Practice and Theory, vol. 17, pp. 641-653, 2009.
[28]T. R. Core, R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna: ISBN 3-900051-07-0, 2014.
[29]B. d. R. e. d. E. d. Population, «Rapport de présentation des résultats définitifs du 3eme rgph au cameroun,» 2005.
[30]Macro, Enquête Démographique et de Santé Cameroun 2004, Institut National de la Statistique, Ministère de la Planification, de la Programmation du Développement de l'Aménagement du territoire, 2005.
[31]Z. Pascal, «Modélisation mathématique de la dynamique de la transmission du paludisme,» Université de Ouagadougou, 2009.
[32]M. Guy, «Douala: ville principale du Cameroun,» 1981.
[33]Chiyaka C, Tchuenche Jean M, Garira W, Dube S, «A mathematical analysis of the effects of control strategies on the transmission dynamics of malaria,» Applied Mathematics and Computation, vol. 195, pp. 641-662, 2008.
[34]Carnevale Pierre, Robert Vincent, Le Goff Gilbert, Fondjo Etienne, Manga Lucien, Akogbeto Martin, Chippaux Jean-Philippe, Mouchet Jean, «Données entomologiques sur le paludisme urbain en Afrique tropicale,» Cahiers d'études et de recherches francophones/Santé, vol. 3, pp. 239-245, 1993.
[35]C. J. ESSONG, «Detection of falciparum malarial forms in naturally infected anophelines in Cameroon using a fluorescent anti-25-kD monoclonal antibody,» Am. J. Trop. Med. Hyg, vol. 52, pp. 366-369, 1995.
[36]Akono P Ntonga, Tonga C, Mbida JA Mbida, Hondt OE Ngo, Ambene P Awono, Ndo C, Magne G Tamdem, Peka MF, Ngaha R, Lehman LG, «Anopheles gambiae, vecteur majeur du paludisme à Logbessou, zone péri-urbaine de Douala (Cameroun),» Bulletin de la Société de pathologie exotique, vol. 108, pp. 360-368, 2015.
[37]M. J, «L'école et les sociétés traditionnelles au Cameroun septentrional,» Cahiers ORSTOM: Sciences humaines, vol. 8, pp. 295-335, 1971.