THE STABILITY AND ALMOST PERIODIC SOLUTION FOR GENERALIZED LOGISTIC ALMOST PERIODIC SYSTEM WITH DELAYS

Autor: Xianglai Zhuo
Rok vydání: 2011
Předmět:
Zdroj: International Journal of Biomathematics. :313-328
ISSN: 1793-7159
1793-5245
DOI: 10.1142/s1793524511001210
Popis: The stability and almost periodic solution for generalized logistic almost periodic system with infinite and discrete delays is considered. Some sufficient conditions for the boundedness of the system are obtained to guarantee that the system is globally asymptotically stable. We also show that the almost periodic system has a unique globally asymptotically stable strictly positive almost periodic solution by using the almost periodic functional Hull theory and new computational techniques. Furthermore, some recent results are improved, and an open question is answered.
Databáze: OpenAIRE