Stability analysis of prey-predator system with Holling type functional response and prey refuge

In this paper, a predator-prey system with Holling type function response incorporating prey refuge is presented. By applying the analytical approaches, the dynamics behavior of the considered system is investigated, including stability, limit cycle and bifurcation. The results show that the shape o...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2017; no. 1; pp. 1 - 12
Main Authors Ma, Zhihui, Wang, Shufan, Wang, Tingting, Tang, Haopeng
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 17.08.2017
Springer Nature B.V
SpringerOpen
Subjects
Analysis
bifurcation
Bifurcations
destabilizing effect
Difference and Functional Equations
Dynamic stability
Functional Analysis
limit cycle
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
predator-prey system
prey refuge
stability
Stability analysis
limit cycle
bifurcation
92B05
prey refuge
37C75
34K18
predator-prey system
destabilizing effect
stability
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Summary:In this paper, a predator-prey system with Holling type function response incorporating prey refuge is presented. By applying the analytical approaches, the dynamics behavior of the considered system is investigated, including stability, limit cycle and bifurcation. The results show that the shape of the functional response plays an important role in determining the dynamics of the system. Especially, the interesting conclusion is that the prey refuge has a destabilizing effect under some certain conditions.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-017-1301-4