Open AccessDynamics of A Prey and Two Neutral Predators
Author(s) -
G. A. L. SATYAVATHI,
A. V. Paparao,
K Sobhan Babu
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1850/1/012068
Subject(s) - predation , stability theory , stability (learning theory) , differential equation , dynamics (music) , mathematics , statistical physics , control theory (sociology) , ecology , biological system , physics , biology , mathematical analysis , computer science , artificial intelligence , control (management) , quantum mechanics , nonlinear system , machine learning , acoustics
We describe a mathematical model for the interaction between three species consists a prey (x 1 ) and two neutral predators (x 2 , x 3 ), surviving on the common prey (x 1 ). Here all the three species have limited their own natural resources. The system is explained by couple of differential equations. The co-existing state is identified and also characterized the local and global stability analysis at this state. The dynamical behaviour of the system is studied using Numerical simulation. It is shown that the system is globally asymptotically stable.