Interactive effects of prey refuge and additional food for predator in a diffusive predator-prey system

Subhendu Chakraborty, P. K. Tiwari, S.K. Sasmal, Santanu Biswas, Sabyasachi Bhattacharya, Joydev Chattopadhyay

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Abstract

Additional food for predators has been considered as one of the best established techniques in integrated pest management and biological conservation programs. In natural systems, there are several other factors, e.g., prey refuge, affect the success of pest control. In this paper, we analyze a predator-prey system with prey refuge and additional food for predator apart from the focal prey in the presence of diffusion. Our main aim is to study the interactive effects of prey refuge and additional food on the system dynamics and especially on the controllability of prey (pest). Different types of Turing patterns such as stripes, spots, holes, and mixtures of them are obtained. It is found that the supply of additional food to the predator is unable to control the prey (pest) population when prey refuge is high. Moreover, when both prey refuge and additional food are low, spatial distribution of prey becomes complex and once again prey control becomes difficult. However, the joint effect of reduction in prey refuge and the presence of appropriate amount of additional food can control prey (pest) population from the system.
Original languageEnglish
JournalApplied Mathematical Modelling
Volume47
Pages (from-to)128-140
ISSN0307-904X
DOIs
Publication statusPublished - 2017

Cite this

Chakraborty, S., Tiwari, P. K., Sasmal, S. K., Biswas, S., Bhattacharya, S., & Chattopadhyay, J. (2017). Interactive effects of prey refuge and additional food for predator in a diffusive predator-prey system. Applied Mathematical Modelling, 47, 128-140. https://doi.org/10.1016/j.apm.2017.03.028
Chakraborty, Subhendu ; Tiwari, P. K. ; Sasmal, S.K. ; Biswas, Santanu ; Bhattacharya, Sabyasachi ; Chattopadhyay, Joydev. / Interactive effects of prey refuge and additional food for predator in a diffusive predator-prey system. In: Applied Mathematical Modelling. 2017 ; Vol. 47. pp. 128-140.
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abstract = "Additional food for predators has been considered as one of the best established techniques in integrated pest management and biological conservation programs. In natural systems, there are several other factors, e.g., prey refuge, affect the success of pest control. In this paper, we analyze a predator-prey system with prey refuge and additional food for predator apart from the focal prey in the presence of diffusion. Our main aim is to study the interactive effects of prey refuge and additional food on the system dynamics and especially on the controllability of prey (pest). Different types of Turing patterns such as stripes, spots, holes, and mixtures of them are obtained. It is found that the supply of additional food to the predator is unable to control the prey (pest) population when prey refuge is high. Moreover, when both prey refuge and additional food are low, spatial distribution of prey becomes complex and once again prey control becomes difficult. However, the joint effect of reduction in prey refuge and the presence of appropriate amount of additional food can control prey (pest) population from the system.",
author = "Subhendu Chakraborty and Tiwari, {P. K.} and S.K. Sasmal and Santanu Biswas and Sabyasachi Bhattacharya and Joydev Chattopadhyay",
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Chakraborty, S, Tiwari, PK, Sasmal, SK, Biswas, S, Bhattacharya, S & Chattopadhyay, J 2017, 'Interactive effects of prey refuge and additional food for predator in a diffusive predator-prey system', Applied Mathematical Modelling, vol. 47, pp. 128-140. https://doi.org/10.1016/j.apm.2017.03.028

Interactive effects of prey refuge and additional food for predator in a diffusive predator-prey system. / Chakraborty, Subhendu; Tiwari, P. K.; Sasmal, S.K.; Biswas, Santanu; Bhattacharya, Sabyasachi; Chattopadhyay, Joydev.

In: Applied Mathematical Modelling, Vol. 47, 2017, p. 128-140.

Research output: Contribution to journalJournal articleResearchpeer-review

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T1 - Interactive effects of prey refuge and additional food for predator in a diffusive predator-prey system

AU - Chakraborty, Subhendu

AU - Tiwari, P. K.

AU - Sasmal, S.K.

AU - Biswas, Santanu

AU - Bhattacharya, Sabyasachi

AU - Chattopadhyay, Joydev

PY - 2017

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AB - Additional food for predators has been considered as one of the best established techniques in integrated pest management and biological conservation programs. In natural systems, there are several other factors, e.g., prey refuge, affect the success of pest control. In this paper, we analyze a predator-prey system with prey refuge and additional food for predator apart from the focal prey in the presence of diffusion. Our main aim is to study the interactive effects of prey refuge and additional food on the system dynamics and especially on the controllability of prey (pest). Different types of Turing patterns such as stripes, spots, holes, and mixtures of them are obtained. It is found that the supply of additional food to the predator is unable to control the prey (pest) population when prey refuge is high. Moreover, when both prey refuge and additional food are low, spatial distribution of prey becomes complex and once again prey control becomes difficult. However, the joint effect of reduction in prey refuge and the presence of appropriate amount of additional food can control prey (pest) population from the system.

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