Mathematical and computationalmodeling of migrations, population spread, and Location-dependent carrying capacities
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Published:2024-05-22
Issue:1
Volume:12
Page:248-263
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ISSN:2309-0022
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Container-title:VFAST Transactions on Mathematics
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language:
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Short-container-title:VFAST trans. math.
Author:
Soomro Faraz AhmedORCID, Ahmed IsrarORCID, Panhwar Waheed AliORCID, Soomro Shah RukhORCID
Abstract
In single-variable calculus, differential equation models for population dynamics are of high importance and by developing these ordinary differential equation (ODE) models, a practical and intelligible approach can be created to partial differential equations (PDEs). This paper researches focus on PDE models for migrations, population spread and location-dependent carrying capacities. However, logistic equation from which the PDE models develop include the diffusion equation, traveling wave equation, and building blocks with location-dependent parameters. This methodology is suitable for multivariable calculus lecture, evaluation task, and problem activity. The text is accompanied by interactive examples, and the article is formatted to be used as a CDF document in which some of the input can be hidden.
Publisher
VFAST Research Platform
Reference28 articles.
1. Ahmed, I., Ly, D. Q. and Ahmed, W. [2017], ‘Collective behavior of self-propelled particles in the presence of moving obstacles’, Materials Today: Proceedings 4(1), 65–74. 2. Ahmed, I., Soomro, I., Shah, S. B. and Shaikh, H. [2018], ‘Simulation of collective motion of selfpropelled particles in homogeneous and heterogeneous medium’, International Journal of Computer Science and Network Security 18(11), 109. 3. Ansari, F. A., Ahmed, I., Dharejo, K. A. and Kalhoro, A. N. [2018], ‘Computational and analytical solution of fractional order linear partial differential equations using sumudu transform and its properties’, International Journal of Computer Science and Network Security 18(9), 43–50. 4. Bhutto, A. A., Ahmed, I., Rajput, S. A. and Shah, S. A. R. [2023], ‘The effect of oscillating streams on heat transfer in viscous magnetohydrodynamic mhd fluid flow’, VFAST Transactions on Mathematics 11(1), 1–16. 5. Bhutto, A. A., Shah, S. F., Khokhar, R. B., Harijan, K. and Hussain, M. [2023], ‘To investigate obstacle configuration effect on vortex driven combustion instability’, VFAST Transactions on Mathematics 11(1), 67–82.
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