Global Attractivity and Oscillations in a Nonlinear Impulsive Parabolic Equation with Delay
Xiao Wang,Zhixiang Li +1 more
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TLDR
The global attractivity and oscillatory behavior of the following nonlinear impul- sive parabolic dierential equation which is a general form of many population models are established in this article.Abstract:
Global attractivity and oscillatory behavior of the following nonlinear impul- sive parabolic dierential equation which is a general form of many population models ( @u(t,x) @t = 4u(t,x) u (t,x) + f(u(t ,x )),t 6 t k, u(t + ,x) u(tk,x) = gk(u(tk,x)),k 2 I1, ( ) the solutions of ( ) with Neumann boundary condition are established. These results not only are true but also improve and complement existing results for ( ) without diusion or impulses. Moreover, when these results are applied to the Nicholson's blowflies model and the model of Hematopoiesis, some new results are obtained.read more
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Complex Dynamic Behaviors of an Impulsively Controlled Predator-prey System with Watt-type Functional Response
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