Study and modelling of a density dependent population using faltung (closed cycle type) equations
Author:
Bordehore Cèsar,Pascual Angela,Pujol Maria J.,Escolano Julio,Manchón Inmaculada,Grimalt Pedro
Abstract
Faltung equations (closed cycle type) have a wide range of biological applications, nonetheless, they are poorly studied. We use a Volterra‐Kostitzin model (which is a Faltung equation) to study the dynamics of a certain species, where the integral term represents a residual action. The complexity of resolution of this non‐linear equation using classical numeric methods is here solved with the Adomian decomposition method. Our method provides the same graphic solution as others do, such as the numeric method Miladie. However, the decomposition method of Adomian has the advantage that neither time nor space are considered discontinuous and that it gives an analytical solution with a reliable approximation.
Subject
Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials
Reference37 articles.
1. Abbaoui, K., Pujol, M.J., Cherrault, Y., Himoun, H. and Grimalt, P. (2001), “A new formulation of Adomian method: convergence result”, Kybernetes, Vol. 30 Nos 9/10, pp. 1183–91. 2. Adomian, G. (1990), “A review of the decomposition method and some results for non‐linear equations”, Math. Comput. Modeling, Vol. 13, pp. 17–43. 3. Allee, W.C., Emerson, A.E., Park, O., Park, T. and Schmidt, K.P. (1949), “Principles of animal ecology”, in W.B. Saunders publishers, Philadelphia, USA. 4. Andrewartha, H.G. and Birch, L.C. (1954), “The distribution and abundance of animals”, University of Chicago Press, Chicago, IL, USA. 5. Beverton, J.H. and Holt, S.J. (1957), “On the dynamics of exploited fish populations”, Chapman and Hall, London, UK.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Numerical resolution of Emden's equation using Adomian polynomials;International Journal of Numerical Methods for Heat & Fluid Flow;2013-08-02
|
|