Travelling waves in the Nicholson’s blowflies equation with spatio-temporal delay

In this paper, Nicholson’s blowflies equation with diffusion and delay is investigated. By taking four different kinds of delay kernels and defining four corresponding characteristic equations, the existence of travelling wave solutions for Nicholson’ blowflies equation is obtained by employing the...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 209; no. 2; pp. 314 - 326
Main Author Lin, Guojian
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 15.03.2009
Elsevier
Subjects
Exact sciences and technology
Mathematical analysis
Mathematics
Monotone iteration technique
Nicholson’s blowflies equation
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Sciences and techniques of general use
Spatio-temporal delay
Travelling waves
Nicholson’s blowflies equation
Travelling waves
Spatio-temporal delay
Monotone iteration technique
Wave equation
Numerical analysis
Existence of solution
Applied mathematics
Nicholson's blowflies equation
Diffusion equation
Iteration
Travelling wave
Delay equation
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Summary:In this paper, Nicholson’s blowflies equation with diffusion and delay is investigated. By taking four different kinds of delay kernels and defining four corresponding characteristic equations, the existence of travelling wave solutions for Nicholson’ blowflies equation is obtained by employing the monotone iteration technique as well as the upper and lower solution method.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2008.12.055