A Prey-Predator Model with Michael Mentence Type of Predator Harvesting and Infectious Disease in Prey

Authors

  • Hiba Abdullah Ibrahim Department of the mathematics, College of Science, University of Baghdad, Baghdad, IRAQ
  • Raid Kamel Naji Department of the mathematics, College of Science, University of Baghdad, Baghdad, IRAQ

DOI:

https://doi.org/10.24996/ijs.2020.61.5.23

Keywords:

Prey-predator, Predator harvesting, Disease; Stability, Bifurcation

Abstract

A prey-predator model with Michael Mentence type of predator harvesting and infectious disease in prey is studied. The existence, uniqueness and boundedness of the solution of the model are investigated. The dynamical behavior of the system is studied locally as well as globally. The persistence conditions of the system are established. Local bifurcation near each of the equilibrium points is investigated. Finally, numerical simulations are given to show our obtained analytical results.

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Published

2020-05-28

Issue

Section

Mathematics

How to Cite

A Prey-Predator Model with Michael Mentence Type of Predator Harvesting and Infectious Disease in Prey. (2020). Iraqi Journal of Science, 61(5), 1146-1163. https://doi.org/10.24996/ijs.2020.61.5.23
Crossref
6
Scopus
15
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Reem Mudar Hussien, Raid Kamel Naji, Chong Lin (2023)
The Dynamics of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate. Journal of Applied Mathematics, 2023, 1.
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Roaa Hatem Talib, Raid Kamel Naji, Chong Lin (2025)
The Effect of Fear and Refuge on the Dynamics of a Predator–Prey Model Incorporating Disease in Predator. Journal of Applied Mathematics, 2025(1).
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Rasha Ali Hamodi, Karrar Qahtan Al-Jubouri, Reem Mudar Hussien, Raid Kamel Naji, Kareem Elgindy (2025)
The Dynamical Analysis of Food‐Web System With a Group Defense and Antipredator Property. International Journal of Mathematics and Mathematical Sciences, 2025(1).
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Hiba Abdullah Ibrahim, Raid Kamel Naji (2023)
The Impact of Fear on a Harvested Prey–Predator System with Disease in a Prey. Mathematics, 11(13), 2909.
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Subrata Paul, Sanjoy Mahato, Animesh Mahata, Sanat Kumar Mahato, Supriya Mukherjee, Banamali Roy (2025)
Analysis of an Imprecise Fractional-Order Eco-epidemiological Model with Various Forms of Prey Refuges and Predator Harvesting. Brazilian Journal of Physics, 55(1).
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K.M. Ariful Kabir (2025)
Mitigating infection in prey through cooperative behavior under fear-induced defense. Applied Mathematics and Computation, 495, 129318.
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Rahi S.A. (2025-08-01)
The role of fear and competition in the dynamic of the prey-predator-scavenger system. Ain Shams Engineering Journal, 16(8).
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Sahi A.M. (2025-01-01)
STABILITY AND BIFURCATION OF PREY-PREDATOR MODEL WITH DISEASE IN PREY INCORPORATING ANTI-PREDATOR AND HUNTING COOPERATION. Communications in Mathematical Biology and Neuroscience, 2025.
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Ali R.A. (2025-01-01)
EFFECT OF WIND AND DISEASE ON THE DYNAMICAL BEHAVIOR OF A PREY-PREDATOR SYSTEM. Communications in Mathematical Biology and Neuroscience, 2025.
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Rahi S.A. (2024-07-01)
The Influence of Fear, Refuge, and Additional Food on the Dynamics of a Prey Interacting with a Predator Having an Infectious Disease. Mathematical Modelling of Engineering Problems, 11(7), 1947-1960.
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Sahi A.M. (2024-01-01)
THE ROLE OF THE FEAR, HUNTING COOPERATION, AND ANTI-PREDATOR BEHAVIOR IN THE PREY PREDATOR MODEL HAVING DISEASE IN PREDATOR. Communications in Mathematical Biology and Neuroscience, 2024.
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Al-Jubouri K.Q. (2023-01-01)
DELAY IN ECO-EPIDEMIOLOGICAL PREY-PREDATOR MODEL WITH PREDATION FEAR AND HUNTING COOPERATION. Communications in Mathematical Biology and Neuroscience, 2023.
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Hussein W. (2021-12-30)
The Dynamics of a Prey-Predator Model with Infectious Disease in Prey: Role of Media Coverage. Iraqi Journal of Science, 62(12), 4930-4952.
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Al-Momen S. (2021-09-30)
The dynamics of sokol-howell prey-predator model involving strong Allee effect. Iraqi Journal of Science, 62(9), 3114-3127.
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Ibrahim H.A. (2021-06-01)
On the dynamical behavior of an eco-epidemiological model. International Journal of Nonlinear Analysis and Applications, 12(2), 1749-1767.

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