GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY

Abstract

Abstract: This paper is concerned with the stability of traveling wavefronts for a population dynamics model with time delay. Combining the weighted energy method and the comparison principle, the global exponential stability of noncritical traveling wavefronts (waves with speeds c > c^*, where c=c^* is the minimal speed) is established, when the initial perturbations around the wavefront decays to zero exponentially in space as x → -∞, but it can be allowed arbitrary large in other locations, which improves the results in[9, 18, 21].

Key words: nonlocal reaction-diffusion equations, traveling wavefronts, stability, comparison principle, weighted energy method

Zhaoxing YANG, Guobao ZHANG. GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY[J].Acta mathematica scientia,Series B, 2018, 38(1): 289-302.

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References

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