Optimal pulse fishing policy in stage-structured models with birth pulses

Chaos, Solitons and Fractals

Volumn 25, Issue 5, 2005, Pages 1209-1219

  Gao, Shujing ^a,b   Chen, Lansun ^b   Sun, Lihua ^b  

^a GUANGZHOU UNIVERSITY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; POPULATION STATISTICS; PROBLEM SOLVING; RANDOM PROCESSES; SUSTAINABLE DEVELOPMENT;

BIRTH RATES; FISH STOCK; POPULATION DYNAMICS; RESOURCE MANAGEMENT;

CHAOS THEORY;

EID: 18444393722     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.11.093     Document Type: Article

References (28)

1. C.W. Clark Mathematical bioeconomics: the optimal management of renewal resources 1976 Wiley New York
2. A.W. Lcung Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems Appl Math Optim 31 1995 219
3. H.R. Alvarez, and L.A. Shepp Optimal harvesting of stochastically fluctuating populations J Math Biol 37 1998 155 177
4. S. Tang, and L. Chen The effect of seasonal harvesting on stage-structured population models J Math Biol 48 2003 357 374
5. W.G. Doubleday Harvesting in matrix population models Biometrics 31 1975 189 200
6. W.M. Getz The ultimate sustainable yield problem in non-linear age-structured populations Math Biosci 48 1980 279 292
7. Z. Ager, and L. Cojocaru Pulse mass measles vaccination across age cohorts Proc Natl Acad Sci USA 90 1993 11698 11702
8. B. Liu, Y. Zhang, and L. Chen Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control Chaos, Solitons & Fractal 22 2004 123 134
9. R.K. Upadhyay, V. Rai, and S.R. Iyengar How do ecosystems respond to external perturbations Chaos, Solitons & Fractals 11 2000 1963 1982
10. S. Gao, and L. Chen Dynamic complexities in a single species discrete population model with stage structure and birth pulses Chaos, Solitons & Fractals 23 2005 519 527
11. S. Tang, and L. Chen Density-dependent birth rate, birth pulses and their population dynamic consequences J Math Biol 64 2002 169 184
12. G. Caughley Analysis of vertebrate populations 1977 John Wiley & Sons New York
13. E.L. Jury Inners and stability of dynamic system 1974 Wiley New York
14. R.M. May Biological population with nonoverlapping generations: stable points, stable cycles, and chaos Science 186 1974 645 647
15. R.M. May, and G.F. Oster Bifurcations and dynamics complexity in simple ecological models Am Natur 110 1976 573 599
16. J.P. Eckmann Routes to chaos with special emphasis on period doubling G. Looss Chaotic behavior of deterministic systems 1983 Elsevier North-Holland Amsterdam
17. P. Collet, and J.P. Eckmann Iterated maps of the interval as dynamical systems 1980 Birkhauser Boston
18. M. Bier, and C. Bountis Remerging Feigenbaum trees in dynamical systems Phys Lett 104A 1984 239 244
19. C. Grebogi, E. Ott, and J.A. Yorke Crises, sudden changes in chaotic attractors and chaotic transients Physica D 7 1983 181 200
20. S.P. Dawson, C. Grebogi, and J.A. Yorke Antimonotonicity: inevitable reversals of period-doubling cascades Phys Lett 162A 1992 249 254
21. R.J. Small, J.C. Holzwart, and D.H. Rusch Predation and hunting mortality of ruffed grouse in central Wisconisn J Wildl Manage 55 1991 512 520
22. G.W. Smith, and R.E. Reynolds Hunting and mallard survival, a reply J Wildl Manage 58 1994 578 581
23. L.N. Ellison Shooting and compensatory mortality in tetarconid Ornis Scand 22 1991 229 240
24. D.R. Anderson, and K.P. Burnham Population ecology of the mallard VI, the effect of exploitation on survival US Fish Wildl Serv Resour Publ 128 1976 1 66
25. J.L. Roseberry Bobwhite population responses to exploitation: real and simulated J Wildl Manage 43 1979 285 305
26. S. Gao, and L. Chen The effect of seasonal harvesting on a single-species discrete model with stage structure and birth pulses Chaos, Solitons & Fractals 24 2005 1013 1023
27. N.J. Nicholson An outline of the dynamics of animal populations Aust J Zool 2 1954 9 65
28. W.S.C. Gurney, R.M. Nisbet, and J.L. Lawton The systematic formulation of tractable single-species population models incorporating age-structure J Anim Ecol 52 1983 479 495