International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064


Downloads: 131

Research Paper | Mathematics | India | Volume 5 Issue 7, July 2016


Strong Coexistence (Local and Global Stability) of Two Mutually Interdependent Predator Species for Sharing a Single Prey Species

Brahampal Singh, Sunita Gakkhar


Abstract: A model consisting of two mutually interdependent predator species feeding on a single prey species is studied. Both the predator species has symbiotic interaction that is mutually beneficial. The local stability of equilibria points is analyzed. It is observed that the persistence is possible in the form of stable non zero equilibrium point or periodic limit cycle in the positive octant. It is shown that in the case of two competing predator species feeding over a single prey species, coexistence is not possible and only the fittest will survive [7], but in the case when two predator species have mutual cooperation feeding over a single prey species, then strong coexistence (local and global stability) is possible. In this paper the mathematical model comprising two mutually interdependent predator species and a single prey species shows rich dynamics numerically as well as analytically. The effect of mutually Cooperation on the two predators feeding on a common prey was investigated.


Keywords: Mutual Cooperation among predator, prey predation, Food web, stability, limit cycle


Edition: Volume 5 Issue 7, July 2016,


Pages: 29 - 36


How to Cite this Article?

Brahampal Singh, Sunita Gakkhar, "Strong Coexistence (Local and Global Stability) of Two Mutually Interdependent Predator Species for Sharing a Single Prey Species", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=ART2016116, Volume 5 Issue 7, July 2016, 29 - 36

How to Share this Article?

Enter Your Email Address


Similar Articles with Keyword 'Food web'

Downloads: 103

Research Paper, Mathematics, India, Volume 4 Issue 8, August 2015

Pages: 1850 - 1853

HOPF Bifurcation Analysis of a Food Web Consisting of Two Logistic Prey and a Harvesting Predator with Modified Leslie- Gower scheme

Brahampal Singh

Share this Article

Downloads: 136

Research Paper, Mathematics, India, Volume 5 Issue 7, July 2016

Pages: 568 - 574

HOPF bifurcation Dynamics and Persistence of Two Mutually Interdependent Predator Species for Sharing a Single Prey Species under Kolmogorov Constraints

Brahampal Singh, Sunita Gakkhar

Share this Article

Similar Articles with Keyword 'stability'

Downloads: 0

Research Paper, Mathematics, India, Volume 10 Issue 8, August 2021

Pages: 827 - 829

Hyers-Ulam-Rassias Stability of First Order Partial Differential Equation

V. P. Sonalkar

Share this Article

Downloads: 1 | Monthly Hits: ⮙1

Research Paper, Mathematics, India, Volume 10 Issue 10, October 2021

Pages: 240 - 246

Thermal Instability of Visco-Elastic Rivlin-Ericksen Nanofluid Layer under the Effect of Magnetic Field

Deepak Kapil, Sudhir Kumar Pundir, Rimple Pundir

Share this Article

Similar Articles with Keyword 'Mutual'

Downloads: 106

Research Paper, Mathematics, India, Volume 3 Issue 12, December 2014

Pages: 2576 - 2582

Unbiased Variance Estimators in System Reliability of Mixed Configuration Models

M. Reni Sagayaraj, A. Merceline Anita, A. Chandra Babu

Share this Article

Downloads: 108

Research Paper, Mathematics, India, Volume 3 Issue 6, June 2014

Pages: 587 - 589

Two-Party Authenticated Key Agreement Protocol in Elliptic Curve Cryptography

Vinod Kumar, Adesh Kumari

Share this Article

Similar Articles with Keyword 'among'

Downloads: 0

Research Paper, Mathematics, Philippines, Volume 9 Issue 5, May 2020

Pages: 1819 - 1823

Problem Solving Prompts for Grade VI Mathematics

Ma. Elena F. Manilag, Aldin D. Labo

Share this Article

Downloads: 1 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Research Paper, Mathematics, India, Volume 10 Issue 11, November 2021

Pages: 556 - 558

Investigative Study of the Behavior of Lotka-Volterra Model of COVID-19

Athira Manikandan

Share this Article

Similar Articles with Keyword 'predator'

Downloads: 103

Research Paper, Mathematics, India, Volume 4 Issue 8, August 2015

Pages: 1850 - 1853

HOPF Bifurcation Analysis of a Food Web Consisting of Two Logistic Prey and a Harvesting Predator with Modified Leslie- Gower scheme

Brahampal Singh

Share this Article

Downloads: 123 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Research Paper, Mathematics, Nepal, Volume 9 Issue 4, April 2020

Pages: 580 - 582

An Application of Eigen Value and Eigen Vector to Discrete Dynamical System

Dr. Ram Lakhan Sah

Share this Article

Similar Articles with Keyword 'prey'

Downloads: 103

Research Paper, Mathematics, India, Volume 4 Issue 8, August 2015

Pages: 1850 - 1853

HOPF Bifurcation Analysis of a Food Web Consisting of Two Logistic Prey and a Harvesting Predator with Modified Leslie- Gower scheme

Brahampal Singh

Share this Article

Downloads: 113

Research Paper, Mathematics, India, Volume 5 Issue 10, October 2016

Pages: 1533 - 1537

A Food Chain Model with Strong Allee Effect in Prey

Nijamuddin Ali

Share this Article

Similar Articles with Keyword 'Food'

Downloads: 103

Research Paper, Mathematics, India, Volume 4 Issue 8, August 2015

Pages: 1850 - 1853

HOPF Bifurcation Analysis of a Food Web Consisting of Two Logistic Prey and a Harvesting Predator with Modified Leslie- Gower scheme

Brahampal Singh

Share this Article

Downloads: 111

Research Paper, Mathematics, Indonesia, Volume 2 Issue 2, February 2013

Pages: 159 - 162

Hybrid ARIMA-ANFIS for Rainfall Prediction in Indonesia

Ria Faulina, Suhartono

Share this Article

Similar Articles with Keyword 'web'

Downloads: 8

Research Paper, Mathematics, Uganda, Volume 10 Issue 8, August 2021

Pages: 538 - 547

Riemann Hypothesis and the Distribution of Prime Numbers

Adriko Bosco

Share this Article

Downloads: 103

Research Paper, Mathematics, India, Volume 4 Issue 8, August 2015

Pages: 1850 - 1853

HOPF Bifurcation Analysis of a Food Web Consisting of Two Logistic Prey and a Harvesting Predator with Modified Leslie- Gower scheme

Brahampal Singh

Share this Article
Top