Periodic solution of a nonautonomous stage-structured single species model with diffusion
Authors:
Zhengqiu Zhang and Shanwu Zeng
Journal:
Quart. Appl. Math. 63 (2005), 277-289
MSC (2000):
Primary 34C25
DOI:
https://doi.org/10.1090/S0033-569X-05-00947-5
Published electronically:
April 11, 2005
MathSciNet review:
2150774
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Abstract: A stage-structured single species model with diffusion is considered in which the coefficients are time-dependent. By using the continuation theorem of coincidence degree theory, a sufficient condition is obtained for the existence of a positive periodic solution for this model.
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1 W.G. Aiello and H.I. Freedman, A time-delay model of single-species growth with stage structure, Math. Biosci., 101(1990), 139-153.
2 W.G. Aiello, H.I. Freedman, and J. Wu, Analysis of a model representing stage-structured population growth with stage-dependent time delay, SIAM J. Appl. Math. 3(1992), 855-869.
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10 Y. Li, Periodic solutions of a periodic delay predator-prey systm, Proc. Amer. Math. Soc., 127(1999), 1331-1335.
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Additional Information
Zhengqiu Zhang
Affiliation:
Department of Applied Mathematics, Hunan University, Changsha, 410082, People’s Republic of China
Email:
z-q-zhang@sina.com
Shanwu Zeng
Affiliation:
College of Mathematics, Wuhan University, Wuhan, 430072, People’s Republic of China
Keywords:
Nonautonomous,
stage-structured,
single species,
diffusion,
periodic solution,
the continuation theorem of coincidence degree,
topological degree
Received by editor(s):
October 16, 2003
Published electronically:
April 11, 2005
Additional Notes:
Project supported by NNSF of China (No. 10271044)
Article copyright:
© Copyright 2005
Brown University
