ALMOST PERIODIC SOLUTIONS FOR A CLASS OF NICHOLSON'S BLOWFLIES MODEL WITH DELAYS AND IMPULSES
CHUNHUA FENG *
Department of Mathematics and Computer Science, Alabama State University, Montgomery, 36104, USA.
*Author to whom correspondence should be addressed.
In this paper, a class of Nicholson’s blowflies models with patch structure, multiple time-varying delays, distributed delay, a linear harvesting term and impulses is studied. Under suitable assumptions, some sufficient conditions are given to guarantee the existence and the attractivity of almost periodic solutions by means of the fixed point theorem and Lyapunov functional for the considered model which are more general and complicated than periodic solutions. Moreover, an illustrative example is provided to demonstrate the effectiveness of the obtained results.
Keywords: Almost periodic solution, nicholson’s blowflies model, delay;, existence.