Impulsive Control on Seasonally Perturbed General Holling Type Two-Prey One-Predator Model
Joint Authors
Banerjee, Chandrima
Das, Pritha
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-21
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We investigate the dynamical behaviors of two-prey one-predator model with general Holling type functional responses.
The effect of seasonal perturbation on the model has been discussed analytically as well as numerically.
The periodic fluctuation is considered in prey growth rate and the predator mortality rate of the model.
The impulsive effects involving biological and chemical control strategy, periodic releasing of natural enemies, and spraying pesticide at different fixed times are introduced in the model with seasonal perturbation.
We derive the conditions of stability for impulsive system using Floquet theory, small amplitude perturbation skills.
A local asymptotically stable prey (pest) eradicated periodic solution is obtained when the impulsive period is less than some critical value.
Numerical simulations of the model with and without seasonal disturbances exhibit different dynamics.
Also we simulate numerically the model involving seasonal perturbations without impulse and with impulse.
Finally, concluding remarks are given.
American Psychological Association (APA)
Banerjee, Chandrima& Das, Pritha. 2016. Impulsive Control on Seasonally Perturbed General Holling Type Two-Prey One-Predator Model. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-20.
https://search.emarefa.net/detail/BIM-1103633
Modern Language Association (MLA)
Banerjee, Chandrima& Das, Pritha. Impulsive Control on Seasonally Perturbed General Holling Type Two-Prey One-Predator Model. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-20.
https://search.emarefa.net/detail/BIM-1103633
American Medical Association (AMA)
Banerjee, Chandrima& Das, Pritha. Impulsive Control on Seasonally Perturbed General Holling Type Two-Prey One-Predator Model. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-20.
https://search.emarefa.net/detail/BIM-1103633
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103633