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Predator-dependent transmissible disease spreading in prey under Holling type-II functional response

  • Dipankar Ghosh , Prasun K. Santra , Abdelalim A. Elsadany EMAIL logo and Ghanshaym S. Mahapatra
Published/Copyright: March 29, 2021
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 76 Issue 6

Abstract

This paper focusses on developing two species, where only prey species suffers by a contagious disease. We consider the logistic growth rate of the prey population. The interaction between susceptible prey and infected prey with predator is presumed to be ruled by Holling type II and I functional response, respectively. A healthy prey is infected when it comes in direct contact with infected prey, and we also assume that predator-dependent disease spreads within the system. This research reveals that the transmission of this predator-dependent disease can have critical repercussions for the shaping of prey–predator interactions. The solution of the model is examined in relation to survival, uniqueness and boundedness. The positivity, feasibility and the stability conditions of the fixed points of the system are analysed by applying the linearization method and the Jacobian matrix method.

Keywords: disease transmission; eco-epidemiological model; Hopf bifurcation; stability analysis
Corresponding author: Abdelalim A. Elsadany, Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj11942, Saudi Arabia; and Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia41522, Egypt, E-mail:

Acknowledgments

The corresponding author would like to thank the Prince Sattam bin Abdulaziz University for their support.

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2020-12-17
Revised: 2021-03-04
Accepted: 2021-03-07
Published Online: 2021-03-29
Published in Print: 2021-06-25

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/zna-2020-0342
Keywords for this article
disease transmission; eco-epidemiological model; Hopf bifurcation; stability analysis

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Chemical Physics
  3. Nonhomogeneous multicolor laser beams optimization to obtain a stronger intensity single harmonic radiation path
  4. Dynamical Systems & Nonlinear Phenomena
  5. Predator-dependent transmissible disease spreading in prey under Holling type-II functional response
  6. Static and dynamic performances of ferrofluid lubricated long journal bearing
  7. Solid State Physics & Materials Science
  8. Nonreciprocal transmission in a parity-time symmetry system with two types of defects
  9. First principles study of the structural, electronic, optical and thermodynamic properties of cubic quaternary AlxIn1−xPyBi1−y alloys
  10. Ultrasound-assisted green biosynthesis of ZnO nanoparticles and their photocatalytic application
  11. Pressure dependent ultrasonic properties of hcp hafnium metal
  12. A comparison study of the structural electronic, elastic and lattice dynamic properties of ZrInAu and ZrSnPt
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