Dynamics analysis of a nonlinear controlled predator–prey model with complex Poincaré map Article Swipe
Huidong Cheng
,
Xin Zhang
,
Tonghua Zhang
,
Jing-Li Fu
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.15388/namc.2024.29.34680
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.15388/namc.2024.29.34680
In this paper, we propose a class of predator–prey models with nonlinear state-dependent feedback control in the saturated state. The nonlinear state impulse control leads to a diversity of pulse and phase sets such that the Poincaré map built on the corresponding phase sets behaves like the single-peak function and multi-peak function with multiple discontinuities. We start our study by analyzing the exact pulse and phase sets of models under various cases generated by the dependent parameter space of nonlinear state feedback control, then construct the Poincaré map that is followed by investigating their monotonicity, continuity, concavity, and immobility properties. We also explore the existence, uniqueness, and sufficient conditions for the global stability of the order-1 periodic solutions of the systems. Numerical simulations are carried out to illustrate and reveal the biological significance of our theoretical findings.
Related Topics
Concepts
Nonlinear system
Mathematics
Uniqueness
Classification of discontinuities
Impulse (physics)
State space
Monotonic function
Control theory (sociology)
Phase space
Applied mathematics
Exponential stability
Statistical physics
Mathematical analysis
Computer science
Control (management)
Physics
Classical mechanics
Thermodynamics
Artificial intelligence
Statistics
Quantum mechanics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.15388/namc.2024.29.34680
- OA Status
- diamond
- Cited By
- 3
- References
- 22
- Related Works
- 10
- OpenAlex ID
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All OpenAlex metadata
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https://openalex.org/W4392356658Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.15388/namc.2024.29.34680Digital Object Identifier
- Title
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Dynamics analysis of a nonlinear controlled predator–prey model with complex Poincaré mapWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2024Year of publication
- Publication date
-
2024-03-01Full publication date if available
- Authors
-
Huidong Cheng, Xin Zhang, Tonghua Zhang, Jing-Li FuList of authors in order
- Landing page
-
https://doi.org/10.15388/namc.2024.29.34680Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
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https://doi.org/10.15388/namc.2024.29.34680Direct OA link when available
- Concepts
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Nonlinear system, Mathematics, Uniqueness, Classification of discontinuities, Impulse (physics), State space, Monotonic function, Control theory (sociology), Phase space, Applied mathematics, Exponential stability, Statistical physics, Mathematical analysis, Computer science, Control (management), Physics, Classical mechanics, Thermodynamics, Artificial intelligence, Statistics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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3Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1, 2024: 2Per-year citation counts (last 5 years)
- References (count)
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22Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| publication_date | 2024-03-01 |
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