Optimal Harvesting and Stability for a Predator-prey System with Stage Structure

Acta Mathematicae Applicatae Sinica, English Series - Tập 18 Số 3 - Trang 423-430 - 2002
Xinyu Song1, Lansun Chen2
1Department of Mathematics, Xinyang Teachers College, Henan, China
2Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Aiello, W.G., Freedman, H.I. A time-delay model of single-species growth with stage structure. Math. Biosci., 101: 139–153 (1990)

Aiello, W.G., Freedman, H.I., Wu, J. Analysis of a model representing stage-structured population growth with state-dependent time delay. SIAM J. Appl. Math., 52(3): 855–869 (1992)

Barclay, H.J., Van Den Driessche, P. A model for a single species with two life history stages and added mortality. Ecol. Model, 11: 157–166 (1980)

Bhatta Charya, D.K., Begum, S. Bionomic equilibrium of two-species system I. Math. Biosci., 135(2): 111 (1996)

Cao, Y., Fan, J., Gard, T.C. The effects of state-structured population growth model. Nonlin. Anal. Th. Meth. Appl., 16(2): 95–105 (1992)

Clark, C.W. Mathematical bioeconomics: the optimal management of renewable resources, 2nd ed. Wiley, New York, 1990

Cushing, J.M. A simple model of cannibalism. Math. Biosci., 107: 47 (1991)

Diekmann, O., Nisbet, R.W., Gurney, W.S.C., van den Bosch, F. Simple mathematical models for cannibalism: a critique and a new approach. Math. Biosci., 78: 210–46 (1986)

Murray, J.D. Mathematical Biology. Biomathematics, Vol.19. Springer-Verlag, Berlin Heidelberg, 1989

Song, Xinyu, Chen, Lansun. Optimal harvesting and stability for a two species competitive system with stage structure. Mathematical Biosciences, 170(2): 173–186 (2001)

Spencer, P.H., Collie, J.S. A simple predator-prey model of exploited marine fish populations incorporating alternate prey. ICES J. Mar. Sci., 53: 615 (1994)