SIZE-STRUCTURED DYNAMICS IN A JUVENILE-ADULT POPULATION WITH FIXED SEX-RATIO | Zendy

Yan Liu | Zendy

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SIZE-STRUCTURED DYNAMICS IN A JUVENILE-ADULT POPULATION WITH FIXED SEX-RATIO

Author(s) -

Yan Liu

Publication year - 2017

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 - 10.11948/2017040

Subject(s) - juvenile , mathematics , population , reproduction , laplace transform , exponential stability , nonlinear system , sex ratio , statistics , biology , demography , mathematical analysis , ecology , physics , quantum mechanics , sociology

We present and analyze a nonlinear size-structured juvenile-adult model with a fixed sex-ratio, in which juveniles are structured by size, while adults by age. Global or local stability results are investigated by the method of characteristics and prior estimations, which show that, if the net reproduction rate is less than one, the population will be extinct for any initial distributions; On the other hand, the population may be extinct or increase in a manner faster than exponential style if the net reproduction rate is greater than one. By using Laplace transform methods, asymptotic behavior of solutions is analyzed too.

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