TRAVELING WAVE SOLUTIONS IN PARAMETRIC FORMS FOR A DIFFUSION MODEL WITH A NONLINEAR RATE OF GROWTH Academic Article

abstract

• In this paper, we study a model of insect and animal dispersal where both density-dependent diffusion and nonlinear rate of growth are present. We analyze the existence of bounded traveling wave solution under certain parametric conditions by using the qualitative theory of dynamical systems. An explicit traveling wave solution is obtained by means of the first integral method. Traveling wave solutions in parametric forms for three particular cases are established by the Lie symmetry method.

authors

• Chen, Goong

published proceedings

• DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

author list (cited authors)

• Feng, Z., & Chen, G.

citation count

• 16

complete list of authors

• Feng, Zhaosheng||Chen, Goong

publication date

• July 2009

publisher

• American Institute of Mathematical Sciences (AIMS)  Publisher

published in

• Discrete and Continuous Dynamical Systems Series A  Journal

keywords

• Center Manifold
• Equilibrium Point
• First Integral
• Fisher Equation
• Infinitesimal Generator
• Lie Symmetry
• Prolonged Operator
• Traveling Waves

Digital Object Identifier (DOI)

• 10.3934/dcds.2009.24.763

start page

• 763

end page

• 780

volume

• 24

issue

• 3

URL

• http://dx.doi.org/10.3934/dcds.2009.24.763