Periodicity in an impulsive logistic equation with a distributed delay

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 70, Issue 4, 2005, Pages 479-487

  Hui, Jing ^a,b   Chen, Lansun ^c  

^a EAST CHINA NORMAL UNIVERSITY   (China)

^b GUANGXI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Coincidence degree; Distributed delay; Logistic equation; Periodic environment; Periodic solution

Indexed keywords

MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; SET THEORY; VECTORS;

COINCIDENCE DEGREE; LOGISTIC EQUATION; PERIODIC ENVIRONMENT; PERIODIC SOLUTION;

DIFFERENTIAL EQUATIONS;

EID: 26844459052     PISSN: 02724960     EISSN: 14643634     Source Type: Journal    
DOI: 10.1093/imamat/hxh046     Document Type: Article

References (11)

1. Agur, Z., Cojocaru, L., Anderson, R.&Danon, Y. (1993) Pulse mass measles vaccination across age cohorts. Proc. Natl Acad. Sci. USA, 90, 11698-11702.
2. Bainov, D. D.&Simeonov, P. S. (1989) System with Impulsive Effect: Stability, Theory and Applications. New York: Wiley.
3. Bainov, D. D.&Simeonov, P. S. (1993) Impulsive Differential Equations: Periodic Solutions and Applications. London: Longmans.
4. Domoshnitsky, A.&Drakhlin, M. (1997) Nonoscillation of first order impulse differential equations with delay. J. Math. Anal. Appl., 206, 254-269.
5. Gaines, R. E.&Mawhin, J. L. (1977) Coincidence Degree and Nonlinear Differential Equations. Berlin: Springer.
6. Laksmikantham, V., Bainov, D. D.&Simeonov, P. S. (1989) Theory of Impulsive Differential Equations. Singapore: World Scientific.
7. Lakmeche, A.&Arino, O. (2000) Bifurcation of non trival periodic solutions of impulsive differential equations arising from chemotherapeutic treatment. Dynam. Contin. Discrete Impuls. Syst., 7, 265-287.
8. Panetta, J. C. (1996) A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competition environment. Bull. Math. Biol., 58, 425-447.
9. Shulgin, B., Stone, L.&Agur, Z. (1998) Pulse vaccination strategy in the SIR epidemic model. Bull. Math. Biol., 60, 1-26.
10. Yu, J. S.&Zhang, B. G. (1996) Stability theorem for delay differential equations with impulses. J. Math. Anal. Appl., 199, 162-175.
11. Zhang, B. G.&Gopalsamy, K. (1990) Global attractivity and oscillations in a periodic delay-logistic equation. J. Math. Anal. Appl., 150, 274-283.