caa a22 4500 606159207 CHVBK 20210128100623.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00521-014-1816-5 doi (NATIONALLICENCE)springer-10.1007/s00521-014-1816-5 A class of time-fractional-order continuous population models for interacting species with stability analysis [Elektronische Daten] [S. Saha Ray, S. Sahoo] In recent years, prey-predator models appearing in various fields of mathematical biology have been proposed and studied extensively due to their universal existence and importance. The paper presents the solutions of time-fractional Lotka-Volterra models with the help of analytical method of nonlinear problem called homotopy perturbation method (HPM). By using initial values, the explicit solutions of time-fractional prey and predator populations for different particular cases have been derived. The numerical solutions show that only a few iterations are needed to obtain accurate approximate solutions. The dynamic behavior of the system investigated from the point of view of local stability. We also carry out a detailed analysis on stability of equilibrium. The Natural Computing Applications Forum, 2015 Homotopy perturbation method (HPM) nationallicence Adomian polynomial nationallicence Caputo fractional derivative nationallicence Riemann-Liouville integral nationallicence Routh-Hurwitz criterion nationallicence Saha Ray S. Department of Mathematics, National Institute of Technology, 769008, Rourkela, India aut Sahoo S. Department of Mathematics, National Institute of Technology, 769008, Rourkela, India aut Neural Computing and Applications Springer London 26/6(2015-08-01), 1495-1504 0941-0643 26:6<1495 2015 26 521 https://doi.org/10.1007/s00521-014-1816-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00521-014-1816-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Saha Ray S. Department of Mathematics, National Institute of Technology, 769008, Rourkela, India aut NATIONALLICENCE 700 1- Sahoo S. Department of Mathematics, National Institute of Technology, 769008, Rourkela, India aut NATIONALLICENCE 773 0- Neural Computing and Applications Springer London 26/6(2015-08-01), 1495-1504 0941-0643 26:6<1495 2015 26 521