Advances in Differential Equations and Control Processes
Volume 17, Issue 4, Pages 265 - 283
(November 2016) http://dx.doi.org/10.17654/DE017040265 |
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GENERALIZATION AND RESOLUTION OF THE HOMOGENEOUS REACTION-DIFFUSION EQUATIONS BY THE METHOD OF FACTORIZATION OF ORDINARY DIFFERENTIAL OPERATORS
S. Moumouni, V. M. S. Soumanou, S. Massou, A. L. Essoun and M. Tchoffo
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Abstract: The objective of this article is the generalization of the homogeneous reaction-diffusion equations of the monostable or bistable types. ¶From the non-linear second order differential equation of the front profile (solution of the homogeneous reaction-diffusion equations), a method of generalization of the homogeneous reaction-diffusion equations, based on the theory of factorization of ordinary differential operators [9], was proposed. This method enables us to build two generalized homogeneous reaction-diffusion equations: the first with one species and the second with two species. |
Keywords and phrases: homogeneous reaction-diffusion equations, method of factorization of ordinary differential operators, population dynamics. |
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