Periodic solutions for a class of diffusive Nicholson’s blowflies model with Dirichlet boundary conditions

被引：0
作者：
Bingwen Liu
Junxia Meng
Weidong Jiao
机构：
[1] Hunan University of Arts and Science,College of Mathematics and Computer Science
[2] Jiaxing University,College of Mathematics, Physics and Information Engineering
[3] Zhejiang Normal University,College of Engineering
来源：
Journal of Inequalities and Applications | / 2013卷
关键词：
diffusive Nicholson’s model; periodic solution; Schauder fixed point theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the problem of periodic solutions for a class of diffusive Nicholson’s blowflies model with Dirichlet boundary conditions. By applying the Schauder fixed point theorem, the existence of nontrivial nonnegative periodic solutions of the considered model is established. Our results complement with some recent ones.
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[1]  
Gurney WS(1980)Nicholson’s blowflies revisited Nature 287 17-21
[2]  
Blythe SP(2002)Oscillation and global attractivity in a periodic Nicholson’s blowflies model Math. Comput. Model 35 719-731
[3]  
Nisbet RM(2010)Nicholson’s blowflies differential equations revisited: main results and open problems Appl. Math. Model 34 1405-1417
[4]  
Saker SH(2011)Global dynamics of Nicholson-type delay systems with applications Nonlinear Anal., Real World Appl 12 436-445
[5]  
Agarwal S(2013)Permanence and periodic solutions for a class of delay Nicholson’s blowflies models Appl. Math. Model 37 1537-1544
[6]  
Berezansky L(1998)Dirichlet problem for the diffusive Nicholson’s blowflies equation J. Differ. Equ 150 317-348
[7]  
Braverman E(2000)Travelling fronts in the diffusive Nicholson’s blowflies equation with distributed delays Math. Comput. Model 32 843-853
[8]  
Idels L(2004)Asymptotic stability of travelling waves for Nicholson’s blowflies equation with diffusion Proc. R. Soc. Lond. Ser. A 134 579-594
[9]  
Berezansky L(2008)Global attractivity of the diffusive Nicholson’s blowflies equation with Neumann boundary condition: a non-monotone case J. Differ. Equ 245 3376-3388
[10]  
Idels L(2009)Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition J. Biol. Dyn 3 331-341
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