Global Attractivity and Oscillations in a Nonlinear Impulsive Parabolic Equation with Delay
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Global attractivity and oscillatory behavior of the following nonlinear impulsive parabolic differential equation which is a general form of many population models (Equation) are considered. Some new sufficient conditions for global attractivity and oscillation of the solutions of (*) with Neumann boundary condition are established. These results not only are true but also improve and complement existing results for (*) without diffusion or impulses. Moreover, when these results are applied to the Nicholson’s blowflies model and the model of Hematopoiesis, some new results are obtained.
Abstract
Global attractivity and oscillatory behavior of the following nonlinear impulsive parabolic differential equation which is a general form of many population models (Equation) are considered. Some new sufficient conditions for global attractivity and oscillation of the solutions of (*) with Neumann boundary condition are established. These results not only are true but also improve and complement existing results for (*) without diffusion or impulses. Moreover, when these results are applied to the Nicholson’s blowflies model and the model of Hematopoiesis, some new results are obtained.
참고문헌 (20)
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