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http://dx.doi.org/10.4134/JKMS.2014.51.3.473

EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF POSITIVE ALMOST PERIODIC SOLUTIONS FOR A DELAYED NICHOLSON'S BLOWFLIES MODEL  

Xu, Yanli (Department of Mathematics Xiangnan College)
Publication Information
Journal of the Korean Mathematical Society / v.51, no.3, 2014 , pp. 473-493 More about this Journal
Abstract
This paper concerns with a class of delayed Nicholson's blowflies model with a nonlinear density-dependent mortality term. Under appropriate conditions, we establish some criteria to ensure that the solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give some examples and numerical simulations to illustrate our main results.
Keywords
Nicholson's blowflies model; nonlinear density-dependent mortality; time-varying delay; positive almost periodic solution; global exponential stability;
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