Modeling the Spatial Spread of Rift Valley Fever in Egypt

Rift Valley fever (RVF) is a severe viral zoonosis in Africa and the Middle East that harms both human health and livestock production. It is believed that RVF in Egypt has been repeatedly introduced by the importation of infected animals from Sudan. In this paper, we propose a three-patch model for the process by which animals enter Egypt from Sudan, are moved up the Nile, and then consumed at population centers. The basic reproduction number for each patch is introduced and then the threshold dynamics of the model are established. We simulate an interesting scenario showing a possible explanation of the observed phenomenon of the geographic spread of RVF in Egypt.

[1]  S. Abdo-Salem,et al.  Can environmental and socioeconomic factors explain the recent emergence of Rift Valley fever in Yemen, 2000-2001? , 2011, Vector borne and zoonotic diseases.

[2]  H. Hoogstraal,et al.  An epizootic of Rift Valley fever in Egypt in 1977 , 1979, Veterinary Record.

[3]  C. Cosner,et al.  A Modeling Approach to Investigate Epizootic Outbreaks and Enzootic Maintenance of Rift Valley Fever Virus , 2014, Bulletin of mathematical biology.

[4]  Holly Gaff,et al.  An epidemiological model of Rift Valley fever. , 2007 .

[5]  C. Scoglio,et al.  A network-based meta-population approach to model Rift Valley fever epidemics. , 2010, Journal of theoretical biology.

[6]  J. R. Hudson,et al.  Enzootic hepatitis or rift valley fever. An undescribed virus disease of sheep cattle and man from east africa , 1931 .

[7]  M. Hussein,et al.  An epizootic of Rift Valley fever in Egypt in 1997. , 1999, Revue scientifique et technique.

[8]  H. Haario,et al.  A Mathematical Model of Rift Valley Fever with Human Host , 2011, Acta biotheoretica.

[9]  S. Makino,et al.  Rift valley fever vaccines. , 2009, Vaccine.

[10]  G. M. Khalil,et al.  The Rift Valley fever epizootic in Egypt 1977-78. 2. Ecological and entomological studies. , 1979, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[11]  R. Métras,et al.  Rift Valley fever epidemiology, surveillance, and control: what have models contributed? , 2011, Vector borne and zoonotic diseases.

[12]  J. Pawęska,et al.  An inhibition enzyme-linked immunosorbent assay for the detection of antibody to Rift Valley fever virus in humans, domestic and wild ruminants. , 2005, Journal of virological methods.

[13]  J. Watmough,et al.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.

[14]  S. Kamal Observations on rift valley fever virus and vaccines in Egypt , 2011 .

[15]  S. Abdo-Salem,et al.  Risk assessment of the introduction of Rift Valley fever from the Horn of Africa to Yemen via legal trade of small ruminants , 2011, Tropical Animal Health and Production.

[16]  G. M. Khalil,et al.  Experimental transmission and field isolation studies implicating Culex pipiens as a vector of Rift Valley fever virus in Egypt. , 1980, The American journal of tropical medicine and hygiene.

[17]  Huiming Wei,et al.  Global stability of an epidemic model for vector-borne disease , 2010, J. Syst. Sci. Complex..

[18]  A. Saah,et al.  A possible route for the introduction of Rift Valley fever virus into Egypt during 1977. , 1986, The Journal of tropical medicine and hygiene.

[19]  Monica F. Myers,et al.  Climate and satellite indicators to forecast Rift Valley fever epidemics in Kenya. , 1999, Science.

[20]  Shigui Ruan,et al.  An SIS patch model with variable transmission coefficients. , 2011, Mathematical biosciences.

[21]  J. P. Lasalle The stability of dynamical systems , 1976 .

[22]  Paul Waltman,et al.  The Theory of the Chemostat , 1995 .

[23]  G. H. Gerdes Rift valley fever. , 2004, The Veterinary clinics of North America. Food animal practice.

[24]  C. Favier,et al.  Rift Valley fever in West Africa: the role of space in endemicity , 2006, Tropical medicine & international health : TM & IH.

[25]  Horst R. Thieme,et al.  Persistence under relaxed point-dissipativity (with application to an endemic model) , 1993 .

[26]  J. Hyman,et al.  Determining Important Parameters in the Spread of Malaria Through the Sensitivity Analysis of a Mathematical Model , 2008, Bulletin of mathematical biology.

[27]  James S. Muldowney,et al.  A Geometric Approach to Global-Stability Problems , 1996 .

[28]  J. Meegan The Rift Valley fever epizootic in Egypt 1977-78. 1. Description of the epizzotic and virological studies. , 1979, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[29]  C. Tucker,et al.  Prediction of a Rift Valley fever outbreak , 2009, Proceedings of the National Academy of Sciences.