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Pure and Applied Mathematics Journal

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Volume 12, Issue 4, August 2023

  • Predator-Prey Interactions: Insights into Allee Effect Subject to Ricker Model

    M. Y. Hamada, Tamer El-Azab, H. El-Metwally

    Issue: Volume 12, Issue 4, August 2023
    Pages: 59-71
    Received: 16 May 2023
    Accepted: 19 July 2023
    Published: 25 September 2023
    DOI: 10.11648/j.pamj.20231204.11
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    Abstract: This study investigates the dynamic properties of a discrete predator-prey model influenced by the Allee effect. Through rigorous analysis utilizing bifurcation theory and the center manifold theorem, we establish the stability of the system’s local equilibrium and reveal the intricate dynamical behaviors exhibited by the model, including period-do... Show More
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  • Some Fixed Point Theorems on b2 - Metric Spaces

    Bheem Singh Patel, Zaheer Kareem Ansari, Dharmendra Kumar, Arun Garg

    Issue: Volume 12, Issue 4, August 2023
    Pages: 72-78
    Received: 25 August 2023
    Accepted: 14 September 2023
    Published: 27 September 2023
    DOI: 10.11648/j.pamj.20231204.12
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    Abstract: In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b2-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b2-metric space. Many Mathematician gave the concept of b2 -metric spaces as a gene... Show More
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