Dynamics of a Predator-Prey System Concerning Biological and Chemical Controls
<p/> <p>We investigate an impulsive predator-prey system with Monod-Haldane type functional response and control strategies, especially, biological and chemical controls. Conditions for the stability of the prey-free positive periodic solution and for the permanence of the system are est...
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2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/598495 |
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doaj-d1b9aa2cc30642bdbfdb2509950ebcee2020-11-24T22:16:04ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101598495Dynamics of a Predator-Prey System Concerning Biological and Chemical ControlsBaek HunkiKim HyeKyung<p/> <p>We investigate an impulsive predator-prey system with Monod-Haldane type functional response and control strategies, especially, biological and chemical controls. Conditions for the stability of the prey-free positive periodic solution and for the permanence of the system are established via the Floquet theory and comparison theorem. Numerical examples are also illustrated to substantiate mathematical results and to show that the system could give birth to various kinds of dynamical behaviors including periodic doubling, and chaotic attractor. Finally, in discussion section, we consider the dynamic behaviors of the system when the growth rate of the prey varies according to seasonal effects.</p>http://www.journalofinequalitiesandapplications.com/content/2010/598495 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Baek Hunki Kim HyeKyung |
| spellingShingle |
Baek Hunki Kim HyeKyung Dynamics of a Predator-Prey System Concerning Biological and Chemical Controls Journal of Inequalities and Applications |
| author_facet |
Baek Hunki Kim HyeKyung |
| author_sort |
Baek Hunki |
| title |
Dynamics of a Predator-Prey System Concerning Biological and Chemical Controls |
| title_short |
Dynamics of a Predator-Prey System Concerning Biological and Chemical Controls |
| title_full |
Dynamics of a Predator-Prey System Concerning Biological and Chemical Controls |
| title_fullStr |
Dynamics of a Predator-Prey System Concerning Biological and Chemical Controls |
| title_full_unstemmed |
Dynamics of a Predator-Prey System Concerning Biological and Chemical Controls |
| title_sort |
dynamics of a predator-prey system concerning biological and chemical controls |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
<p/> <p>We investigate an impulsive predator-prey system with Monod-Haldane type functional response and control strategies, especially, biological and chemical controls. Conditions for the stability of the prey-free positive periodic solution and for the permanence of the system are established via the Floquet theory and comparison theorem. Numerical examples are also illustrated to substantiate mathematical results and to show that the system could give birth to various kinds of dynamical behaviors including periodic doubling, and chaotic attractor. Finally, in discussion section, we consider the dynamic behaviors of the system when the growth rate of the prey varies according to seasonal effects.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2010/598495 |
| work_keys_str_mv |
AT baekhunki dynamicsofapredatorpreysystemconcerningbiologicalandchemicalcontrols AT kimhyekyung dynamicsofapredatorpreysystemconcerningbiologicalandchemicalcontrols |
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