Investigation of an Interacting Fractional-Order Predator–Prey System in Presence of Fear and Harvesting

Sunil Kumar; Ravikant Singh; R. P. Chauhan; Nilesh Kumar Thakur

doi:10.1007/s40995-023-01540-5

Investigation of an Interacting Fractional-Order Predator–Prey System in Presence of Fear and Harvesting

Sunil Kumar
, Ravikant Singh
, R. P. Chauhan
, Nilesh Kumar Thakur

National Institute of Technology Jamshedpur
King Saud University
National Institute of Technology Raipur
JECRC University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

This paper analyzes a fractional-order prey–predator system in presence of harvesting and fear effect. Analytically, the condition for existence, uniqueness, nonnegativity, and boundedness are investigated. Existence criteria for feasible equilibrium points are discussed, and the conditions for local and global stability are explored. We have performed the numerical investigation to validate the analytical findings. Our result show that, decrease in fractional order stabilize the system. Further, increasing the level of fear, the system exhibits oscillatory to stable dynamics.

Original language	English
Pages (from-to)	1739-1749
Number of pages	11
Journal	Iranian Journal of Science
Volume	47
Issue number	5-6
DOIs	https://doi.org/10.1007/s40995-023-01540-5
State	Published - Dec 2023
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 15 Life on Land

Keywords

Caputo fractional derivative
Fear effect
Harvesting
Prey–predator
Super-predator functional response

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10.1007/s40995-023-01540-5

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title = "Investigation of an Interacting Fractional-Order Predator–Prey System in Presence of Fear and Harvesting",

abstract = "This paper analyzes a fractional-order prey–predator system in presence of harvesting and fear effect. Analytically, the condition for existence, uniqueness, nonnegativity, and boundedness are investigated. Existence criteria for feasible equilibrium points are discussed, and the conditions for local and global stability are explored. We have performed the numerical investigation to validate the analytical findings. Our result show that, decrease in fractional order stabilize the system. Further, increasing the level of fear, the system exhibits oscillatory to stable dynamics.",

keywords = "Caputo fractional derivative, Fear effect, Harvesting, Prey–predator, Super-predator functional response",

author = "Sunil Kumar and Ravikant Singh and Chauhan, \{R. P.\} and Thakur, \{Nilesh Kumar\}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Shiraz University.",

year = "2023",

month = dec,

doi = "10.1007/s40995-023-01540-5",

language = "English",

volume = "47",

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journal = "Iranian Journal of Science",

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T1 - Investigation of an Interacting Fractional-Order Predator–Prey System in Presence of Fear and Harvesting

AU - Kumar, Sunil

AU - Singh, Ravikant

AU - Chauhan, R. P.

AU - Thakur, Nilesh Kumar

PY - 2023/12

Y1 - 2023/12

N2 - This paper analyzes a fractional-order prey–predator system in presence of harvesting and fear effect. Analytically, the condition for existence, uniqueness, nonnegativity, and boundedness are investigated. Existence criteria for feasible equilibrium points are discussed, and the conditions for local and global stability are explored. We have performed the numerical investigation to validate the analytical findings. Our result show that, decrease in fractional order stabilize the system. Further, increasing the level of fear, the system exhibits oscillatory to stable dynamics.

AB - This paper analyzes a fractional-order prey–predator system in presence of harvesting and fear effect. Analytically, the condition for existence, uniqueness, nonnegativity, and boundedness are investigated. Existence criteria for feasible equilibrium points are discussed, and the conditions for local and global stability are explored. We have performed the numerical investigation to validate the analytical findings. Our result show that, decrease in fractional order stabilize the system. Further, increasing the level of fear, the system exhibits oscillatory to stable dynamics.

KW - Caputo fractional derivative

KW - Fear effect

KW - Harvesting

KW - Prey–predator

KW - Super-predator functional response

UR - https://www.scopus.com/pages/publications/85175352292

U2 - 10.1007/s40995-023-01540-5

DO - 10.1007/s40995-023-01540-5

M3 - Article

AN - SCOPUS:85175352292

SN - 2731-8095

VL - 47

SP - 1739

EP - 1749

JO - Iranian Journal of Science

JF - Iranian Journal of Science

IS - 5-6

ER -

Investigation of an Interacting Fractional-Order Predator–Prey System in Presence of Fear and Harvesting

Abstract

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Keywords

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