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

Physics

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)

Balachandran, K.…[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