The main objective of this paper is to develop a mathematical model to study the dynamic of malaria transmission for the human and mosquito populations. In this study we have clarified the significant impact of congenital malaria (vertical transmission of malaria from mother to baby before or during birth). We see the direct effects of congenital malaria on the spread of malaria and impact it on the basic reproduction number. In our model the human population is divided into three classes and the mosquito population is divided into two classes, our appropriate model of 5-dimensional nonlinear system which incorporates and includes the infection newborn shows that the disease-free equilibrium is globally asymptotically stable if 〖R〗_0<1 and if 〖R〗_0>1 the endemic equilibrium is locally asymptotically stable proved by Routh- Hurwitz criterion. Our numerical simulations and graphical results conform the analysis predictions.
congenital malaria, vertical transmission, basic reproduction number, asymptotically stable, numerical simulation
 WHO. (2016). World Malaria Report 2016, Geneva, Switzerland.
 Eisele TP, Larsen DA, Walker N. et al. (2012). Estimates of child deaths prevented from malaria prevention scale-up in Africa 2001-2010. Malaria Journal 11.
 Neena V, Sunita B, Sadhna M, Sukla B, Aditya PD. (2006). Congenital malaria with atypical presentation: A case report from low transmission area in India. Malaria Journal 6: 43.
 Gülaşı S, Özdener N. (2016). Congenital malaria: Importance of diagnosis and treatment in pregnancy. Turk J Pediatr 58: 195-199.
 Ukpong IG, Etim SE, Ogbeche JO, Uno OI. (2016). Retrospective study of congenital malaria in Calabar, South-Eastern Nigeria. International Journal of Infectious and Tropical Diseases 3: 1.
 Grace W, Mwangoka SK, Leonard EG, Mboera, C. (2008). Plasmodium falciparum infection in neonates in Muheza District. Tanzania. Malaria Journal.
 Uneke CJ. (2007). Impact of placental Plasmodium falciparum malaria on pregnancy and perinatal outcome in sub-Saharan Africa: Part I: II: effects of placental malaria on perinatal outcome. Malaria and HIV 80: 95–103.
 Ross R. (1911). The prevention of malaria. John Murray, London.
 Macdonald G. (1957). The epidemiology and control of malaria. Oxford University Press, London.
 Dietz K, Molineaux L, Thomas A. (1974). A malaria model tested in the African savannah. Bulletin of the World Health Organization 50.
 Anderson RM, May MR. (1991). Infectious diseases of humans: Dynamics and control. Oxford University Press, Oxford.
 Aron JL, May R. (1982). The population dynamics of malaria, The population dynamics of infectious diseases, theory and applications. Chapman Ans Hall, London, 139-179.
 Koella JC. (1991). On the use of mathematical models of malaria transmission. Acta Tropica: 491-25.
 Caminade C. et al. (2014). Impact of climate change on global malaria distribution. Proc Natl Acad Sci USA 111(9): 3286–3291.
 Joshua OY, Nakul C. (2017). Modelling the implications of stopping vector control for malaria control and elimination, Yukich and Chitnis Malar J. 16: 411.
 Phasy R. (1998). Social and cultural complexities of anti-malarial drug circulation: An ethnographic investigation in three rural remote communes of Cambodia, Res Malar J. 16: 428.
 Bacaer N, Sokhna C. (2005). A reaction-diffusion system modeling the spread of resistance to an antimalarial drug. Math. Biosci. Engrg 2: 227-238.
 Koella JC, Boeet C. (2003). A model for the coevolution of immunity and immune evasion in vectorborne diseases with implications for the epidemiology of malaria. The American Naturalist 161: 698-707.
 Ngwa GA, Shu WS. (2000). A mathematical model for endemic malaria with variable human and mosquito populations. Mathematical and Computer Modeling 32: 747-763.
 Ngwa G. (2004). Modelling the dynamics of endemic malaria in growing populations. Discrete and Continuous Dynamical Systems Series B 4: 1173-1202.
 Muema JM. et al. (2017). Prospects for malaria control through manipulation of mosquito larval habitats and olfactory-mediated behavioural responses using plant-derived compounds. Parasites and Vectors 10: 184. https:doi.org/10.1186/s13071-017-2122-8
 Tusting LS, Thwing J, Sinclair D, Fillinger U, Gimnig J, Bonner KE, et al. (2013). Mosquito larval source management for controlling malaria. Cochrane Database Syst Rev 8:CD008923.
 Walker K, Lynch M. (2007). Contributions of anopheles larval control to malaria suppression in tropical Africa: Review of achievements and potential. Medical and Veterinary Entomology.
 Mathieu MG, Marcia CC. (2013). Impact of community-based Larviciding on the prevalence of malaria infection in Dar Es salaam. Tanzania.
 Zhou G, et al. (2016). Insecticide-treated net campaign and malaria transmission in Western Kenya: 2003–2015. Front Public Health 4: 153.
 Ritesh P, Pandey PN. (2015). Malaria transmission and biological control with human related activities. A Mathematical Modeling Approach 19(1).