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Traveling wave solutions of density-dependent nonlinear reaction-diffusion equation via the extended generalized Riccati equation mapping method

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Abstract.

Analytical entire traveling wave solutions to the 1+1 density-dependent nonlinear reaction-diffusion equation via the extended generalized Riccati equation mapping method are presented in this paper. This equation can be regarded as an extension case of the Fisher-Kolmogoroff equation, which is used for studying insect and animal dispersal with growth dynamics. The analytical solutions are then used to investigate the effect of equation parameters on the population distribution.

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  1. Département d’informatique et d’ingénierie, Université du Québec en Outaouais, 101 St-Jean-Bosco, J8Y 3G5, Gatineau, Canada

    Emmanuel Kengne, Michel Saydé, Fathi Ben Hamouda & Ahmed Lakhssassi

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  1. Emmanuel Kengne
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  2. Michel Saydé
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  3. Fathi Ben Hamouda
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  4. Ahmed Lakhssassi
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Kengne, E., Saydé, M., Ben Hamouda, F. et al. Traveling wave solutions of density-dependent nonlinear reaction-diffusion equation via the extended generalized Riccati equation mapping method. Eur. Phys. J. Plus 128, 136 (2013). https://doi.org/10.1140/epjp/i2013-13136-7

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