DYNAMICS OF STAGE-STRUCTURED DISCRETE MOSQUITO POPULATION MODELS

Junliang Lu; Jia Li

doi:10.11948/2011005

2011 Volume 1 Issue 1

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Junliang Lu, Jia Li. DYNAMICS OF STAGE-STRUCTURED DISCRETE MOSQUITO POPULATION MODELS[J]. Journal of Applied Analysis & Computation, 2011, 1(1): 53-67. doi: 10.11948/2011005

Citation:

Junliang Lu, Jia Li. DYNAMICS OF STAGE-STRUCTURED DISCRETE MOSQUITO POPULATION MODELS[J]. Journal of Applied Analysis & Computation, 2011, 1(1): 53-67. doi: 10.11948/2011005

DYNAMICS OF STAGE-STRUCTURED DISCRETE MOSQUITO POPULATION MODELS

Junliang Lu,
Jia Li

Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35806, USA

Abstract

Abstract

We formulate discrete-time stage-structured models, based on systems of difierence equations, for mosquito populations. We include the four distinct mosquito metamorphic stages, egg, pupa, larva, and adult, in the models. We derive a formula for the inherent net reproductive number, and investigate existence and stability of flxed points. We also show that the models, by means of numerical simulations, exhibit richer dynamics.
- Mosquito population /
- stage structure /
- discrete model /
- stability /
- period-doubling bifurcation
MSC: 39A11;92D15;92D25;92D30;92D40

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References

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