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A mathematical model for population distribution III: An analytical approach to pray-predator systems

Author

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  • Nicholas Elias

    (Democritus University of Thrace, GREECE)

Abstract

The present paper is a continuation of the work described in Elias (2023) and Elias (2024) which attempt to develop a deterministic simulation for phenomena occurring in Regional Science, incorporating demographic, economic, geographical etc. variables to a mathematically simulated deterministic system. Herein, such systems are approximated by a generalization of the Helmholtz wave equation, providing the possibility to better understand the dynamic influence of the environment and of the interaction between the variables within the system, thus making possible the discrimination between inertial, isolated (closed) and (open-general) dynamic cases. A simulation concerning population systems is presented, applied on prey – predator systems, without utilizing the Lotka – Volterra equations. For these systems the analytically derived expressions for the equations of motion (temporal) and distribution (spatiotemporal) are produced.

Suggested Citation

  • Nicholas Elias, 2025. "A mathematical model for population distribution III: An analytical approach to pray-predator systems," Romanian Journal of Regional Science, Romanian Regional Science Association, vol. 19(2), pages 50-80, December.
    • Handle: RePEc:rrs:journl:v:19:y:2025:i:2:p:50-80
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    References listed on IDEAS

    as
    1. Kassahun Getnet Mekonen & Abayneh Fentie Bezabih & Koya Purnachandra Rao & Ram N. Mohapatra, 2024. "Mathematical Modeling of Infectious Disease and Prey-Predator Interaction with Optimal Control," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2024, pages 1-13, May.
    2. Lang, Wei & Long, Ying & Chen, Tingting, 2018. "Rediscovering Chinese cities through the lens of land-use patterns," Land Use Policy, Elsevier, vol. 79(C), pages 362-374.
    3. Nicholas Elias, 2023. "A Mathematical Model For Population Distribution," Romanian Journal of Regional Science, Romanian Regional Science Association, vol. 17(2), pages 40-65, DECEMBER.
    Full references (including those not matched with items on IDEAS)

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    • Y80 - Miscellaneous Categories - - Related Disciplines - - - Related Disciplines

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