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

Yan Liu

doi:10.11948/2017040

2017 Volume 7 Issue 2

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Yan Liu. SIZE-STRUCTURED DYNAMICS IN A JUVENILE-ADULT POPULATION WITH FIXED SEX-RATIO[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 644-658. doi: 10.11948/2017040

Citation:

Yan Liu. SIZE-STRUCTURED DYNAMICS IN A JUVENILE-ADULT POPULATION WITH FIXED SEX-RATIO[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 644-658. doi: 10.11948/2017040

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

Yan Liu

Department of Mathematics, China JiLiang University, Hangzhou, China

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Abstract

Abstract

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.
- Juvenile-adult model /
- size-structured /
- fixed sex-ratio /
- stability /
- asymptotic behavior
MSC: 92D25;45J05;35B35;35B40

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References

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