Simple stage-structured models for wild and transgenic mosquito populations

Journal of Difference Equations and Applications

Volumn 15, Issue 4, 2009, Pages 327-347

  Li, Jia ^a  

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

Author keywords

Cycles; Difference equations; Population models; Stability; Stage structure; Transgenic mosquitoes

Indexed keywords

EID: 68849125457     PISSN: 10236198     EISSN: 15635120     Source Type: Journal    
DOI: 10.1080/10236190802566491     Document Type: Article

References (17)

1. N. Becker, Mosquitoes and Their Control, Kluwer Academic/Plenum, New York, NY, 2003.
2. H. Caswell, Matrix Population Models: From Fates of Individuals to the Dynamics of Populations, Sinauer Associates, Sunderland, 2001.
3. CDC, Available at: http://www.cdc.gov/malaria/facts.htm#WorldMalaria, 2008.
4. J.M. Cushing, An Introduction to Structured Population Dynamics, SIAM, Philadelphia, PA, 1998.
5. J.M. Cushing and J. Li, On Ebenman's model for the dynamics of a population with competing juveniles and adults, Bull. Math. Biol. 51 (1989), pp. 687-713.
6. C. Dye, Intraspecific competition amongst larval aedes aegypti: Food exploitation or chemical interference, Ecol. Entomol. 7 (1982), pp. 39-46.
7. M. Enserink, Two new steps toward a 'better mosquito', Science 293 (2001), pp. 2370-2371.
8. A.K. Ghosh, P.E.M. Ribolla, and M. Jacobs-Lorena, Targeting Plasmodium ligands on mosquito salivary glands and midgut with a phage display peptide library, Proc. Natl Acad. Sci. USA 98 (2001), pp. 13278-13281.
9. R.M. Gleiser, J.Urrutia, and D.E. Gorla, Effects of crowding on populations of aedes albifasciatus larvae under laboratory conditions, Entomologia Experimentalis et Applicata 95 (2000), pp. 135-140.
10. J. Ito, A. Ghosh, L.A. Moreira, E.A. Wilmmer, and M. Jacobs-Lorena, Transgenic anopheline mosquitoes impaired in transmission of a malaria parasite, Nature 417 (2002), pp. 452-455.
11. N. Keyfitz, The mathematics of sex and marriage, in Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, L.M. LeCam, J. Newman, and E.L. Scott, eds., Vol. IV, Univ. of California Press, Berkeley, CA, 1972, pp. 89-108.
12. J. Li, Simple mathematical models for interacting wild and transgenic mosquito populations, Math. Biosci. 189 (2004), pp. 39-59.
13. J. Li, Heterogeneity in modeling of mosquito populations with transgenic mosquitoes, J. Difference Equ. Appl. 11 (2005), pp. 443-457.
14. J. Li, Differential equations models for interacting wild and transgenic mosquito populations, J. Biol. Dyn. 2 (2008), pp. 241-258.
15. G.J. Lycett and F.C. Kafatos, Anti-malarial mosquitoes?, Nature 417 (2002), pp. 387-388.
16. L.A. Moreira, J. Wang, F.H. Collins, and M. Jacobs-Lorena, Fitness of anopheline mosquitoes expressing transgenes that inhibit Plasmodium development, Genetics 166 (2004), pp. 1337-1341.
17. M. Otero, H.G. Solari, and N. Schweigmann, A stochastic population dynamics model for Aedes aegypti: formulation and application to a city with temperate climate, Bull. Math. Biol. 68 (2006), pp. 1945-1974.