Heterogeneity in modelling of mosquito populations with transgenic mosquitoes

Journal of Difference Equations and Applications

Volumn 11, Issue 4-5, 2005, Pages 443-457

  Li, Jia ^a  

^a University of Alabama in Huntsville ^*  (United States)

Author keywords

Chaotic behaviour; Discrete time population models; Stability of equilibria; System of difference equations; Transgenic mosquitoes; Zygosity heterogeneity

Indexed keywords

EID: 22544474385     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190412331335490     Document Type: Article

References (18)

1. Wernsdorfer, W.H., 1980, The importance of malaria in the world. In: J.P. Kreier (Ed.) Malaria, Vol. 1, Epidemiology, Chemotherapy, Morphology, and Metabolism (New York: Academic Press).
2. Anderson, R.M. and May, R.M., 1991, Infectious Diseases of Humans, Dynamics and Control (Oxford: Oxford University Press).
3. Bradley, T., 1996, Malaria and Drug Resistance, MBChB Special Study Module Project Report (Department of Microbiology and Immunology, University of Leicester), http://www-micro.msb.le.ac.uk/224/Bradley/ Bradley.html.
4. Ghosh, A.K., Ribolla, P.E.M. and Jacobs-Lorena, M., 2001, Targeting plasmodium ligands on mosquito salivary glands and midgut with a phage display peptide library, Proceedings of the National Academy of Sciences of the United States of America, 98, 13278-13281.
5. Ito, J., Ghosh, A., Moreira, L.A., Wilmmer, E.A. and Jacobs-Lorena, M., 2002, Transgenic anopheline mosquitoes impaired in transmission of a malaria parasite, Nature, 417, 452-455.
6. Lycett, G.J. and Kafatos, F.C., 2002, Anti-malarial mosquitoes?, Nature, 417, 387-388.
7. Enserink, M., 2001, Two new steps toward a 'better mosquito', Science, 293, 2370-2371.
8. Science News, 2002, Generically altered mosquitoes may eradicate malaria, http://www.cosmiverse.com/news/ science/science05230209.html
9. M. Jacobs-Lorena, Personal communications (2002).
10. Roughgarden, J., 1979, Theory of Population Genetics and Evolutionary Ecology: An Introduction (New York: Macmillan Publication).
11. Li, Jia, 2004, Simple mathematical models for interacting wild and transgenic mosquito populations, Mathematical Biosciences, 189, 39-59.
12. Caswell, Hal, 2001, Matrix Population Models: from Fates of Individuals to the Dynamics of Populations (Sunderland: Sinauer Associates).
13. Cushing, J.M., 1998, An Introduction to Structured Population Dynamics (Philadelphia: SIAM).
14. Cushing, J.M., 2003, Cycle chains and the LPA model, Journal of Difference Equations and their Applications, 9, 655-670.
15. Cushing, J.M., 2004, The LPA model, Fields Institute Communications, 43, 29-55.
16. Charlwood, J.D., Thompson, R. and Madsen, H., 2003, Observations on the swarming and mating behaviour of Anopheles funestus from southern Mozambique, Malaria Journal, 2(2).
17. Merman, A. and Plemmons, R.J., 1994, Plemmons, Nonnegative Matrices in the Mathematical Sciences, Classics in Applied Mathematics (Philadelphia: SIAM).
18. Moreira, L.A., Wang, Jing, Collins, F.H. and Jacobs-Lorena, M., 2004, Fitness of anopheline mosquitoes expressing transgenes that inhibit plasmodium development, Genetics, 166, 1337-1341.