A multi-region nonlinear age-size structured fish population model

Nonlinear Analysis: Real World Applications

Volumn 6, Issue 3, 2005, Pages 447-460

  Faugeras, Blaise ^a   Maury, Olivier ^a  

^a INSTITUT DE RECHERCHE POUR LE DÉVELOPPEMENT   (France)

Author keywords

Age size structure; Initial boundary value problem; Population dynamics; Positivity; System of partial differential equations; Variational formulation

Indexed keywords

BOUNDARY CONDITIONS; FISHERIES; INITIAL VALUE PROBLEMS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POPULATION STATISTICS; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; STATISTICAL METHODS; VARIATIONAL TECHNIQUES;

FISH POPULATION DYNAMICS; MORTALITY RATE; NONLINEAR AGE-SIZE STRUCTURE; POPULATION MODEL; POSITIVITY; VARIATIONAL FORMULATION;

MATHEMATICAL MODELS;

EID: 13644279135     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2004.09.005     Document Type: Article

References (16)

1. O. Arino A survey of structured cell population dynamics Acta Biotheor. 43 1995 3-25
2. eme (1970) 185-233.
3. R. Beverton S. Holt On the dynamics of exploited fish populations, Fish and Fisheries Series 11 1996 Chapman & Hall London
4. D. DeAngelis K. Rose L. Crowder E. Marschall D. Lika Fish cohort dynamics: Application of complementary modeling approaches Am. Nat. 42 1993 604-622
5. D.A. Fournier J.R. Sibert MULTIFAN a likelihood-based method for estimating growth parameters and age composition from multiple length frequency data sets illustrated using data for Southern Bluefin Tuna (thunnus maccoyii) Can. J. Fish. Aquat. Sci. 47 1990 301-317
6. M.G. Garroni M. Langlais Age-dependent population diffusion with external constraint J. Math. Biol. 14 1982 77-94
7. M. Langlais A nonlinear problem in age-dependent population diffusion SIAM. J. Math. Anal. 16 3 1985 510-529
8. J. Lions E. Magenes Problèmes aux limites homogènes et applications 1968 Paris Dunod
9. G. Marchuk, Splitting and alternating direction methods, in: Handbook of Numerical Analysis, vol. I, North-Holland, Amsterdam, 1990, pp. 197-462.
10. O. Maury, B. Faugeras, V. Restrepo, FASST: A fully age-size and space-time structured statistical model for the assessment of tuna populations, ICCAT Coll. Vol. Sci. Pap., 57, in press.
11. B. Megrey, Review and comparison of age-structured stock assessment models from theoritical and applied points of view, in: E. Edwards, B. Megrey (Eds.), Mathematical Analysis of Fish Stocks Dynamics, vol. 6, American Fishery Society Symposium, 1989, pp. 8-48.
12. A. Okubo, Diffusion and Ecological Problems: Mathematical Models, Biomathematics, vol. 10, Springer, Berlin, 1980.
13. A. Pfister Some consequences of size variability in juvenile prickly sculpin, cottus asper Environ. Biol. Fishes 66 2002 383-390
14. G. Strang On the construction and comparison of difference schemes SIAM J. Numer. Anal. 5 1968 506-517
15. J. Swart A. Meijer A simplified model for age-dependent population dynamics Math. Biosci. 121 1994 15-36
16. G. Webb The Theory of Nonlinear Age-Dependent Population Dynamics 1985 Marcel Dekker New York