Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response
Joint Authors
Gokila, C.
Sambath, M.
Balachandran, K.
Ma, Yong-Ki
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-04
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A stochastic predator-prey model with disease in the prey and Holling type II functional response is proposed and its dynamics is analyzed.
We discuss the boundedness of the dynamical system and find all feasible equilibrium solutions.
For the stochastic systems, we obtain the conditions for the existence of the global unique solution, boundedness, and uniform continuity.
We derive the conditions for extinction and permanence of species.
Moreover, we construct appropriate Lyapunov functions and discuss the asymptotic stability of equilibria.
To illustrate our theoretical findings, we have performed numerical simulations and presented the results.
American Psychological Association (APA)
Gokila, C.& Sambath, M.& Balachandran, K.& Ma, Yong-Ki. 2020. Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1127367
Modern Language Association (MLA)
Gokila, C.…[et al.]. Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response. Advances in Mathematical Physics No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1127367
American Medical Association (AMA)
Gokila, C.& Sambath, M.& Balachandran, K.& Ma, Yong-Ki. Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1127367
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127367