Periodic solutions, global attractivity and oscillation of an impulsive delay host–macroparasite model

✍ Scribed by S.H. Saker; J.O. Alzabut

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 284 KB
• Volume: 45
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/j.mcm.2006.07.001

✦ Synopsis

In this paper we will consider the nonlinear impulsive delay host-macroparasite model with periodic coefficients. By means of the continuation theorem of coincidence degree, we establish a sufficient condition for the existence of a positive periodic solution M(t) with strictly positive components. Moreover, we establish a sufficient condition for the global attractivity of M(t) and some sufficient conditions for oscillation of all positive solutions about the positive periodic solution M(t).