Stability analysis of an eco-epidemiological model incorporating a prey refuge
The present paper deals with the problem of a predator-prey model incorporating a prey refuge with disease in the prey-population. We assume the predator population will prefer only infected population for their diet as those are more vulnerable. Dynamical behaviours such as boundedness, permanence...
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| Format: | Article |
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Vilnius University Press
2010-10-01
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| Series: | Nonlinear Analysis |
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| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14319 |
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doaj-fcc41068a2ea413e8c1209477b4cf5b92020-11-24T21:27:41ZengVilnius University PressNonlinear Analysis1392-51132335-89632010-10-0115410.15388/NA.15.4.14319Stability analysis of an eco-epidemiological model incorporating a prey refugeA. K. Pal0G. P. Samanta1St. Thomas’ College of Engineering & Technology, IndiaBengal Engineering and Science University, India The present paper deals with the problem of a predator-prey model incorporating a prey refuge with disease in the prey-population. We assume the predator population will prefer only infected population for their diet as those are more vulnerable. Dynamical behaviours such as boundedness, permanence, local and global stabilities are addressed. We have also studied the effect of discrete time delay on the model. The length of delay preserving the stability is also estimated. Computer simulations are carried out to illustrate our analytical findings. http://www.journals.vu.lt/nonlinear-analysis/article/view/14319eco-epidemiological modelpermanenceglobal stabilityHopf bifurcation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. K. Pal G. P. Samanta |
| spellingShingle |
A. K. Pal G. P. Samanta Stability analysis of an eco-epidemiological model incorporating a prey refuge Nonlinear Analysis eco-epidemiological model permanence global stability Hopf bifurcation |
| author_facet |
A. K. Pal G. P. Samanta |
| author_sort |
A. K. Pal |
| title |
Stability analysis of an eco-epidemiological model incorporating a prey refuge |
| title_short |
Stability analysis of an eco-epidemiological model incorporating a prey refuge |
| title_full |
Stability analysis of an eco-epidemiological model incorporating a prey refuge |
| title_fullStr |
Stability analysis of an eco-epidemiological model incorporating a prey refuge |
| title_full_unstemmed |
Stability analysis of an eco-epidemiological model incorporating a prey refuge |
| title_sort |
stability analysis of an eco-epidemiological model incorporating a prey refuge |
| publisher |
Vilnius University Press |
| series |
Nonlinear Analysis |
| issn |
1392-5113 2335-8963 |
| publishDate |
2010-10-01 |
| description |
The present paper deals with the problem of a predator-prey model incorporating a prey refuge with disease in the prey-population. We assume the predator population will prefer only infected population for their diet as those are more vulnerable. Dynamical behaviours such as boundedness, permanence, local and global stabilities are addressed. We have also studied the effect of discrete time delay on the model. The length of delay preserving the stability is also estimated. Computer simulations are carried out to illustrate our analytical findings.
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| topic |
eco-epidemiological model permanence global stability Hopf bifurcation |
| url |
http://www.journals.vu.lt/nonlinear-analysis/article/view/14319 |
| work_keys_str_mv |
AT akpal stabilityanalysisofanecoepidemiologicalmodelincorporatingapreyrefuge AT gpsamanta stabilityanalysisofanecoepidemiologicalmodelincorporatingapreyrefuge |
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1725973942987915264 |