Massera-Type theorem and asymptotically periodic Logistic equations

Nonlinear Analysis: Real World Applications

Volumn 7, Issue 5, 2006, Pages 1268-1283

  Haiyin, Gao ^a,b   Ke, Wang ^c   Fengying, Wei ^a   Xiaohua, Ding ^c  

^a NORTHEAST NORMAL UNIVERSITY   (China)

^b CHANGCHUN UNIVERSITY   (China)

^c HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Asymptotically periodic Logistic equations; Global stability; Massera Type theorem

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; FUNCTION EVALUATION; PROBLEM SOLVING; THEOREM PROVING; TWO DIMENSIONAL;

ASYMPTOTICALLY PERIODIC LOGISTIC EQUATIONS; GLOBAL STABILITY; MASSERA-TYPE THEOREM;

TIME VARYING SYSTEMS;

EID: 33745148633     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2005.11.008     Document Type: Article

References (6)

1. Coleman B.D. Nonautonomous Logistic equation as models of the adjustment of populations to environmental change. J. Math. Biosci. 45 3-4 (1979) 159-173
2. Fan M., and Wang K. Optimal harvesting policy for single population with periodic coefficients. J. Math. Biosci. 152 2 (1998) 165-177
3. Liao X. The Theory, Method and Application of Stability (1999), Southeast University Press, WuHan
4. Ma Z. Population Ecology on Mathematics Mold and Research (1996), Anhui Education Press
5. Massera J.L. The existence of periodic solutions of systems of differential equations. Duke Math. J. 17 (1950) 457-475
6. Wang K. Extension of Massera theorem. J. Acta Math. Sci. 10 (1990) 197-199