NUMERICAL RESULTS FOR LOTKA-VOLTERRA MODEL USING APPROXIMATE INERTIAL MANIFOLDS

[1]. Constantin, P., Foias, C., Nicolaenko, B., Temam, R. (1989).Integral manifolds and inertial manifolds for dissipative partial differential equations, Appl. Math. Sci.70, Springer, Berlin.Search in Google Scholar

[2]. Foiaş, C., Sell, G. R., Temam, R. (1988).Inertial manifolds for nonlinear evolutionary equations, J. Diff. Eqs.73, 309-353.10.1016/0022-0396(88)90110-6Search in Google Scholar

[3]. Temam, R. (1997). Infinite-dimensional dynamical systems in mechanics and physics, Applied Mathematical Sciences, 68, Berlin: Springer.10.1007/978-1-4612-0645-3Search in Google Scholar

[4]. Tu, P. (1994). Dynamical Systems. An introduction with applications in economics and biology, Berlin: Springer.10.1007/978-3-642-78793-5Search in Google Scholar

[5]. Jolly, M. S., Rosa, R., Temam, R. (2000). Accurate computations on inertial manifold, SIAM J. Sci. Comput., 22 (6), 2216-2238.Search in Google Scholar

[6]. Rosa, R. (1995). Approximate inertial manifolds of exponential order, Discrete and Continuous Dynamical Systems, 1, 421-448.10.3934/dcds.1995.1.421Search in Google Scholar

[7]. Rosa, R., Temam, R. (1996). Inertial manifolds and normal hyperbolicity, ACTA Applicandae Mathematicae, 45, 1-50.10.1007/BF00047882Search in Google Scholar

[8]. Nartea, C. (2006).The approximation of inertial manifolds; The Lotka-Volterra model, Bul. Şt., Universitatea din Piteşti, Seria Mat. Inf.12, 109-120.Search in Google Scholar

[9]. Nartea, C. (2009). Approximate inertial manifolds and absorbing domains for Lotka-Volterra model, Proceedings of the International Conference Trends and Challenges in Applied Mathematics, 23 May 2009 (104-108), Bucharest, Romania: Matrix ROM.Search in Google Scholar

[10]. http://www.scilab.org.Search in Google Scholar