Dynamics of Modified Leslie-Gower Predator-Prey Model with Beddington-DeAngelis Functional Response and Additive Allee Effect Article Swipe
In this paperwe discuss the dynamics of a modified Leslie-Gower predation model with Beddington-DeAngelis functional response and additive Allee effect on prey.Particularly we discuss the existence condition for each equilibrium point, localstability and global stability of the equilibria.It is shown that the model has none, one or two positive equilibria.The permanence of the system is examined.We address that in certain conditions, the model exhibitsa bistability phenomenon. Finally, we perform some numerical simulations toconfirmour analytical results.
Related Topics
Concepts
Allee effect
Functional response
Mathematics
Equilibrium point
Predation
Stability (learning theory)
Applied mathematics
Dynamics (music)
Statistical physics
Control theory (sociology)
Mathematical economics
Predator
Mathematical analysis
Ecology
Computer science
Physics
Differential equation
Population
Biology
Acoustics
Sociology
Machine learning
Demography
Artificial intelligence
Control (management)
Metadata
- Type
- article
- Language
- en
- Landing Page
- http://ceser.in/ceserp/index.php/ijed/article/view/4525
- OA Status
- green
- Cited By
- 13
- References
- 4
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W2993263418
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W2993263418Canonical identifier for this work in OpenAlex
- Title
-
Dynamics of Modified Leslie-Gower Predator-Prey Model with Beddington-DeAngelis Functional Response and Additive Allee EffectWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2016Year of publication
- Publication date
-
2016-07-19Full publication date if available
- Authors
-
Danang Indrajaya, Agus Suryanto, Abdul Rouf AlghofariList of authors in order
- Landing page
-
https://ceser.in/ceserp/index.php/ijed/article/view/4525Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://ceser.in/ceserp/index.php/ijed/article/view/4525Direct OA link when available
- Concepts
-
Allee effect, Functional response, Mathematics, Equilibrium point, Predation, Stability (learning theory), Applied mathematics, Dynamics (music), Statistical physics, Control theory (sociology), Mathematical economics, Predator, Mathematical analysis, Ecology, Computer science, Physics, Differential equation, Population, Biology, Acoustics, Sociology, Machine learning, Demography, Artificial intelligence, Control (management)Top concepts (fields/topics) attached by OpenAlex
- Cited by
-
13Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 2, 2022: 3, 2021: 5, 2020: 3Per-year citation counts (last 5 years)
- References (count)
-
4Number of works referenced by this work
- Related works (count)
-
20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.toconfirmour | 72 |
| abstract_inverted_index.equilibria.It | 37 |
| abstract_inverted_index.equilibria.The | 49 |
| abstract_inverted_index.localstability | 31 |
| abstract_inverted_index.prey.Particularly | 21 |
| abstract_inverted_index.Beddington-DeAngelis | 13 |
| cited_by_percentile_year.max | 98 |
| cited_by_percentile_year.min | 94 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.32806808 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |