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Article Contents

# Traveling wave solutions in parametric forms for a diffusion model with a nonlinear rate of growth

• 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.
Mathematics Subject Classification: Primary: 34C14, 35B05; Secondary: 34C05.

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