Open AccessAnalysis for fractional‐order predator–prey model with uncertainty
Author(s) -
Narayanamoorthy Samayan,
Baleanu Dumitru,
Thangapandi Kalidas,
Perera Shyam Sanjeewa Nishantha
Publication year - 2019
Publication title -
iet systems biology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.367
H-Index - 50
eISSN - 1751-8857
pISSN - 1751-8849
DOI - 10.1049/iet-syb.2019.0055
Subject(s) - mathematics , predation , order (exchange) , mathematical optimization , fuzzy logic , euler's formula , predator , computer science , control theory (sociology) , ecology , mathematical analysis , artificial intelligence , control (management) , finance , economics , biology
Here, the authors analyse the fractional‐order predator–prey model with uncertainty, due to the vast applications in various ecological systems. The most of the ecological model do not have exact analytic solution, so they proposed a numerical technique for an approximate solution. In the proposed method, they have implemented the higher order term into the fractional Euler method to enhance the precise solution. Further, the present attempt is aimed to discuss the solutions of the FPPM with uncertainty (fuzzy) initial conditions. The initial conditions of the predator–prey model were taken as fuzzy initial conditions due to the fact that the ecological model highly depends on uncertain parameters such as growth/decay rate, climatic conditions, and chemical reactions. Finally, the numerical example manifest that the proposed method is authentic, applicable, easy to use from a computational viewpoint and the acquired outcomes are balanced with the existing method (HPM), which shows the efficiency of the proposed method.