%0 Conference Proceedings
%T Stability Analysis of Imprecise Prey-Predator Model
%+ Haldia Institute of Technology [West Bengal]
%+ Mugberia Gangadhar Mahavidyalaya
%+ National Institute of Technology [Durgapur] (NIT Durgapur)
%+ Vidyasagar University
%A De, Anupam
%A Khatua, Debnarayan
%A Maity, Kalipada
%A Panigrahi, Goutam
%A Maiti, Manoranjan
%Z Part 7: Perceptual Intelligence
%< avec comité de lecture
%( IFIP Advances in Information and Communication Technology
%B 4th International Conference on Intelligence Science (ICIS)
%C Durgapur, India
%Y Zhongzhi Shi
%Y Mihir Chakraborty
%Y Samarjit Kar
%I Springer International Publishing
%3 Intelligence Science III
%V AICT-623
%P 229-240
%8 2021-02-24
%D 2021
%R 10.1007/978-3-030-74826-5_20
%K Prey-predator
%K Local stability
%K Imprecise environment
%K “e” and “g” operator method
%Z Computer Science [cs]Conference papers
%X Since the last few decades, the prey-predator system delivers attractive mathematical models to analyse the dynamics of prey-predator interaction. Due to the lack of precise information about the natural parameters, a significant number of research works have been carried out to take care of the impreciseness of the natural parameters in the prey-predator models. Due to direct impact of the imprecise parameters on the variables, the variables also become imprecise. In this paper, we developed an imprecise prey-predator model considering both prey and predator population as imprecise variables. Also, we have assumed the parameters of the prey-predator system as imprecise. The imprecise prey-predator model is converted to an equivalent crisp model using “e” and “g” operator method. The condition for local stability for the deterministic system is obtained mathematically by analysing the eigenvalues of the characteristic equation. Furthermore, numerical simulations are presented in tabular and graphical form to validate the theoretical results.
%G English
%Z TC 12
%2 https://inria.hal.science/hal-03741730/document
%2 https://inria.hal.science/hal-03741730/file/512271_1_En_20_Chapter.pdf
%L hal-03741730
%U https://inria.hal.science/hal-03741730
%~ IFIP
%~ IFIP-AICT
%~ IFIP-TC
%~ IFIP-TC12
%~ IFIP-ICIS
%~ IFIP-AICT-623