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Analysis of a Class of Stochastic Animal Behavior Models under Specific Choice Preferences

Author

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  • Ali Turab

    (Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani 12120, Thailand)

  • Nabil Mlaiki

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Nahid Fatima

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Zoran D. Mitrović

    (Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina)

  • Wajahat Ali

    (School of Science, Nanjing University of Science and Technology, Nanjing 210094, China)

Abstract

The behavior of animals can be studied in two ways: experimentally, in labs or in the field, or theoretically, via modeling. Extensive research on animal behavior in probabilistic learning circumstances has produced findings that are consistent with so-called occurrence studies. However, such cases can be classified into four different events, depending on the location of the food and the side chosen by the animals. This article sought to overcome these limitations by offering a generic stochastic model under these conditions that can be utilized to analyze the broad range of models that have been reported in the literature. We explored the existence, uniqueness, and stability results of the proposed model using well-known fixed-point methods. Additionally, we present some examples to highlight the significance of our results.

Suggested Citation

  • Ali Turab & Nabil Mlaiki & Nahid Fatima & Zoran D. Mitrović & Wajahat Ali, 2022. "Analysis of a Class of Stochastic Animal Behavior Models under Specific Choice Preferences," Mathematics, MDPI, vol. 10(12), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:1975-:d:833820
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    References listed on IDEAS

    as
    1. Jae-Hyeong Bae & Won-Gil Park, 2012. "A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, June.
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    Cited by:

    1. Adrian Nicolae Branga & Ion Marian Olaru, 2022. "Generalized Contractions and Fixed Point Results in Spaces with Altering Metrics," Mathematics, MDPI, vol. 10(21), pages 1-13, November.

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