A fractional-order predator–prey model with ratio-dependent functional response and linear harvesting
We consider a model of predator–prey interaction at fractional-order where the predation obeys the ratio-dependent functional response and the prey is linearly harvested. For the proposed model, we show the existence, uniqueness, non-negativity and boundedness of the solutions. Conditions for the ex...
| Main Authors: | Suryanto, Agus, Darti, Isnani, Panigoro, Hasan S., Kilicman, Adem |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI
2019
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/38218/ http://psasir.upm.edu.my/id/eprint/38218/1/38218.pdf |
Similar Items
Sir epidemic and predator - prey models of fractional-order
by: Abiodun Ezekiel, Owoyemi
Published: (2018)
by: Abiodun Ezekiel, Owoyemi
Published: (2018)
Numerical study for fractional model of non-linear predator-prey biological population dynamical system
by: Singh, Jagdev, et al.
Published: (2019)
by: Singh, Jagdev, et al.
Published: (2019)
One-parameter bifurcation analysis of prey-predator model with harvesting strategies
by: Zati Iwani Abdul Manaf,, et al.
Published: (2021)
by: Zati Iwani Abdul Manaf,, et al.
Published: (2021)
The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies
by: Ahmad, Fazilah
Published: (2023)
by: Ahmad, Fazilah
Published: (2023)
Dynamics Of Predator-Prey Models
by: Wuhaib, Sufyan Abaas
Published: (2013)
by: Wuhaib, Sufyan Abaas
Published: (2013)
Dynamical behaviours of prey-predator fishery model with harvesting affected by toxic substances
by: Keong, Ang Tau, et al.
Published: (2018)
by: Keong, Ang Tau, et al.
Published: (2018)
Epidermiological approach to predator-prey interaction
by: Mustapha, Faridah, et al.
Published: (2002)
by: Mustapha, Faridah, et al.
Published: (2002)
Stability analysis of predator - prey population model with time delay and constant rate of harvesting
by: Toaha, Syamsuddin, et al.
Published: (2008)
by: Toaha, Syamsuddin, et al.
Published: (2008)
Peak hour in the bush: Linear anthropogenic clearings funnel predator and prey species
by: Dawson, S., et al.
Published: (2017)
by: Dawson, S., et al.
Published: (2017)
Effects of periodic increase of prey population in a predator-prey model
by: Matyas, Laszlo, et al.
Published: (2015)
by: Matyas, Laszlo, et al.
Published: (2015)
A study on an extended Prey-Predator algorithm
by: Hong, Choon Ong, et al.
Published: (2015)
by: Hong, Choon Ong, et al.
Published: (2015)
Dual modification of predator and prey cell shapes during predation by Bdellovibrio bacteriovorus
by: Banks, Emma Jane
Published: (2022)
by: Banks, Emma Jane
Published: (2022)
Optimal experimental design for predator–prey functional response experiments
by: Zhang, Jeff F., et al.
Published: (2018)
by: Zhang, Jeff F., et al.
Published: (2018)
Stability analysis and maximum profit of predator - prey population model with time delay and constant effort of harvesting
by: Toaha, Syamsuddin, et al.
Published: (2008)
by: Toaha, Syamsuddin, et al.
Published: (2008)
Solution of prey–predator problem by numeric–analytic technique
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
Solution of prey–predator problem by numeric–analytic technique
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
Mathematical model of dengue virus with predator-prey interactions
by: Sarinah Banu Mohamed Siddik,, et al.
Published: (2020)
by: Sarinah Banu Mohamed Siddik,, et al.
Published: (2020)
Experimental design and analysis to investigate predator preferences for prey.
by: Taplin, Ross
Published: (2007)
by: Taplin, Ross
Published: (2007)
Comparison between Genetic Algorithm and Prey-Predator Algorithm.
by: Ong, Hong Choon
by: Ong, Hong Choon
Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle
by: Ang, Tau Keong
Published: (2020)
by: Ang, Tau Keong
Published: (2020)
Solutions of linear multi-dimensional fractional order Volterra integral equations
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
Testing the effects of prey surface changes on Bdellovibrio bacteriovorus predation
by: Lai, Ting
Published: (2019)
by: Lai, Ting
Published: (2019)
Solution of predator-prey problem by multistage Adomian decomposition method
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)
Simulation of the predator-prey problem by the homotopy-perturbation method revised
by: Chowdhury, Md. Sazzad Hossien
Published: (2008)
by: Chowdhury, Md. Sazzad Hossien
Published: (2008)
Investigating the roles of polyamines in the predator-prey interactions of Bdellovibrio bacteriovorus.
by: Ford, Rhian Marie
Published: (2025)
by: Ford, Rhian Marie
Published: (2025)
A powerful Numeric-analytic Technique for handling prey-predator problems
by: Chowdhury, Md. Sazzad Hossien
Published: (2012)
by: Chowdhury, Md. Sazzad Hossien
Published: (2012)
Effects of historically familiar and novel predator odors on the physiology of an introduced prey
by: Mella, V., et al.
Published: (2016)
by: Mella, V., et al.
Published: (2016)
On simple iterative fractional order differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)
Interrupting peptidoglycan deacetylation during Bdellovibrio predator-prey interaction prevents ultimate destruction of prey wall, liberating bacterial-ghosts
by: Lambert, Carey, et al.
Published: (2016)
by: Lambert, Carey, et al.
Published: (2016)
Physiological and behavioural responses of Australian and exotic prey to the scent of native and introduced predators
by: Mella, Valentina S. A.
Published: (2009)
by: Mella, Valentina S. A.
Published: (2009)
Global stability of a three species predator-prey food chain dynamics
by: Ali, Safaa Jawad, et al.
Published: (2019)
by: Ali, Safaa Jawad, et al.
Published: (2019)
Natural transform of fractional order and some properties
by: Omran, Maryam, et al.
Published: (2016)
by: Omran, Maryam, et al.
Published: (2016)
Using molecular prey detection to quantify rock lobster predation on barrens-forming sea urchins
by: Redd, K., et al.
Published: (2014)
by: Redd, K., et al.
Published: (2014)
Approximate solutions for non-linear iterative fractional differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)
Predation on multiple prey types across a disturbance gradient in tropical montane forests of Peninsular Malaysia
by: Murray, Kieran, et al.
Published: (2020)
by: Murray, Kieran, et al.
Published: (2020)
The interaction of predator prey with uncertain initial population sizes (Interaksi pemangsa-mangsa dengan saiz awal populasi tak pasti)
by: Almbrok Hussin Alsonosi Omar ,, et al.
Published: (2011)
by: Almbrok Hussin Alsonosi Omar ,, et al.
Published: (2011)
An improved marine predators algorithm-tuned fractional-order PID controller for automatic voltage regulator system
by: Mohd Zaidi, Mohd Tumari, et al.
Published: (2023)
by: Mohd Zaidi, Mohd Tumari, et al.
Published: (2023)
A fractional order PID tuning tool for automatic voltage regulator using marine predators algorithm
by: Mohd Zaidi, Mohd Tumari, et al.
Published: (2023)
by: Mohd Zaidi, Mohd Tumari, et al.
Published: (2023)
Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
Bayesian inference and model choice for Holling’s disc equation: a case study on an insect predator-prey system
by: Papanikolaou, N.E., et al.
Published: (2016)
by: Papanikolaou, N.E., et al.
Published: (2016)
Similar Items
-
Sir epidemic and predator - prey models of fractional-order
by: Abiodun Ezekiel, Owoyemi
Published: (2018) -
Numerical study for fractional model of non-linear predator-prey biological population dynamical system
by: Singh, Jagdev, et al.
Published: (2019) -
One-parameter bifurcation analysis of prey-predator model with harvesting strategies
by: Zati Iwani Abdul Manaf,, et al.
Published: (2021) -
The Numerical Bifurcation Analysis Of Leslie-Gower Predator-Prey Model With Different Types Of Predator Harvesting Strategies
by: Ahmad, Fazilah
Published: (2023) -
Dynamics Of Predator-Prey Models
by: Wuhaib, Sufyan Abaas
Published: (2013)