Numerical analysis of a population model of marine invertebrates with different life stages

► We consider a population model of marine invertebrates with different life stages. ► We propose a numerical method to investigate the asymptotic behavior of solutions. ► Simulations provide new knowledge about the mechanisms that govern the stability. ► The different behavior of solutions depends...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2013-08, Vol.18 (8), p.2153-2163
Main Authors: Angulo, O., López-Marcos, J.C., López-Marcos, M.A., Martínez-Rodríguez, J.
Format: Article
Language:English
Subjects:
Age-structured models
Asymptotic properties
Computer simulation
Constraining
Invertebrates
Marine
Mathematical analysis
Mathematical models
Numerical analysis
Numerical methods
Populations dynamics
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Summary:► We consider a population model of marine invertebrates with different life stages. ► We propose a numerical method to investigate the asymptotic behavior of solutions. ► Simulations provide new knowledge about the mechanisms that govern the stability. ► The different behavior of solutions depends on the vital functions. We analyze an age-structured population model of marine invertebrates with life stages composed of sessile adults and pelagic larvae contained in a local habitat. In the model, space is the principal limiting resource. The long time simulation of this kind of coupled systems is difficult. Here, we propose a numerical method in order to investigate the asymptotic behavior of the solutions. Our numerical analysis provides an original knowledge about the mechanisms that govern the stability of the system as, for example, the different performance depending on the vital functions.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2013.01.009