DYNAMICS OF STAGE-STRUCTURED DISCRETE MOSQUITO POPULATION MODELS | Zendy

Junliang Lu | Zendy; Jia Li | Zendy

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DYNAMICS OF STAGE-STRUCTURED DISCRETE MOSQUITO POPULATION MODELS

Author(s) -

Junliang Lu,

Jia Li

Publication year - 2011

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2011005

Subject(s) - larva , pupa , population , dynamics (music) , stage (stratigraphy) , mathematics , population model , biology , stability (learning theory) , biological system , computer science , ecology , physics , demography , paleontology , machine learning , sociology , acoustics

We formulate discrete-time stage-structured models, based on systems of difference 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 fixed points. We also show that the models, by means of numerical simulations, exhibit richer dynamics.

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