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Wavefront solutions in diffusive Nicholson’s blowflies equation with nonlocal delay
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作者 张存华 颜向平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第3期385-392,共8页
This paper is concerned with the diffusive Nicholson's blowflies equation with nonlocal delay incorporated as an integral convolution over the entire past time up to now and the whole one-dimensional spatial domain R... This paper is concerned with the diffusive Nicholson's blowflies equation with nonlocal delay incorporated as an integral convolution over the entire past time up to now and the whole one-dimensional spatial domain R. Assume that the delay kernel is a strong generic kernel. By the linear chain techniques and the geometric singular perturbation theory, the existence of travelling front solutions is shown for small delay. 展开更多
关键词 diffusive Nicholson's blowflies equation nonlocal delay strong generic kernel travelling wavefront solution
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TRAVELLING FRONT SOLUTIONS IN A DIFFUSIVE VECTOR DISEASE MODEL WITH SPATIO-TEMPORAL DELAY
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作者 Cunhua Zhang Dept.of Math.,Lanzhou Jiaotong University,Lanzhou 730070 《Annals of Differential Equations》 2012年第4期471-479,共9页
This paper is concerned with travelling front solutions to a vector disease model with a spatio-temporal delay incorporated as an integral convolution over all the past time up to now and the whole one-dimensional spa... This paper is concerned with travelling front solutions to a vector disease model with a spatio-temporal delay incorporated as an integral convolution over all the past time up to now and the whole one-dimensional spatial domain R.When the delay kernel is assumed to be the strong generic kernel,using the linear chain techniques and the geometric singular perturbation theory,the existence of travelling front solutions is shown for small delay. 展开更多
关键词 diffusive vector disease model nonlocal delay strong generic kernel travelling wave fronts
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