JOURNAL ARTICLE

HOPF BIFURCATION AND GLOBAL STABILITY OF A PREDATOR–PREY MODEL WITH ALTERNATIVE RESOURCE AND CANNIBALISM.

  • Published In: Fractals, 2023, v. 31, n. 10. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Liu, Juan; UPADHYAY, RANJIT KUMAR; AGRAWAL, RASHMI; ZEB, ANWAR; SAEED, TAREQ; AHMAD, ZAHID 3 of 3

Abstract

In this study, we present a delayed predator–prey model with cannibalism including a prey, a juvenile predator and an adult predator. The adult predator hunts not only the prey but also the juvenile predator. The alternative resource is considered to reduce cannibalism in predator species. The main results are demonstrated by local stability and Hopf bifurcation. Sufficient criteria for local stability of the interior equilibrium point and the exhibition of a Hopf bifurcation are derived. Global stability is analyzed via designing a suitable Lyapunov function. Additionally, stability of the Hopf bifurcation is explored. Finally, numerical simulations are executed to validate the obtained results. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Fractals. 2023/10, Vol. 31, Issue 10, p1
  • Document Type:Article
  • Subject Area:Biology
  • Publication Date:2023
  • ISSN:0218-348X
  • DOI:10.1142/S0218348X23400844
  • Accession Number:174978845
  • Copyright Statement:Copyright of Fractals is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Looking to go deeper into this topic? Look for more articles on EBSCOhost.