Optimal harvesting and stability for a two-species competitive system with stage structure.
作者： Xinyu Song , Lansun Chen
DOI: 10.1016/S0025-5564(00)00068-7
关键词:
摘要: In this paper, we consider a stage-structured competitive population model with two life stages, immature and mature, mature of harvesting. We obtain conditions for the existence globally asymptotically stable positive equilibrium threshold harvesting population. The optimal is also considered.
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sci-hub.se 参考文章(19)
R.M. Nisbet, William Gurney, J.H. Lawton, The systematic formulation of tractable single-species models incorporating age structure Journal of Animal Ecology. ,vol. 52, pp. 479- 495 ,(1983)
G ROSEN, Time delays produced by essential nonlinearity in population growth models. Bulletin of Mathematical Biology. ,vol. 49, pp. 253- 255 ,(1987) , 10.1016/S0092-8240(87)80045-9
A. W. Leung, Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems Applied Mathematics and Optimization. ,vol. 31, pp. 219- 241 ,(1995) , 10.1007/BF01182789
Walter G. Aiello, H. I. Freedman, J. Wu, Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay SIAM Journal on Applied Mathematics. ,vol. 52, pp. 855- 869 ,(1992) , 10.1137/0152048
Walter G. Aiello, H.I. Freedman, A time-delay model of single-species growth with stage structure. Bellman Prize in Mathematical Biosciences. ,vol. 101, pp. 139- 153 ,(1990) , 10.1016/0025-5564(90)90019-U
H FREEDMAN, K GOPALSAMY, Global stability in time-delayed single-species dynamics. Bulletin of Mathematical Biology. ,vol. 48, pp. 485- 492 ,(1986) , 10.1016/S0092-8240(86)90003-0
D.K. Bhattacharya, S. Begum, Bionomic equilibrium of two-species system. I Mathematical Biosciences. ,vol. 135, pp. 111- 127 ,(1996) , 10.1016/0025-5564(95)00170-0
Hugh J. Barclay, Pauline van den Driessche, A model for a species with two life history stages and added mortality Ecological Modelling. ,vol. 11, pp. 157- 166 ,(1980) , 10.1016/0304-3800(80)90081-2
Keith Tognetti, The two stage stochastic population model Bellman Prize in Mathematical Biosciences. ,vol. 25, pp. 195- 204 ,(1975) , 10.1016/0025-5564(75)90002-4
S. N. WOOD, S. P. BLYTHE, W. S. C. GURNEY, R. M. NISBET, Instability in Mortality Estimation Schemes Related to Stage-Structure Population Models Mathematical Medicine and Biology-a Journal of The Ima. ,vol. 6, pp. 47- 68 ,(1989) , 10.1093/IMAMMB/6.1.47