Mathematical and computationalmodeling of migrations, population spread, and Location-dependent carrying capacities

Authors

DOI:

https://doi.org/10.21015/vtm.v12i1.1797

Keywords:

Population dynamics, Partial differential equations, Ordinary differential equation, Cumulative distribution Function, Logistic equation

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.

Author Biography

Waheed Ali Panhwar, Department of Zoology, Universty of Sindh, Jamshoro, Pakistan

Associate Professor, Deportment of Zoology

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Published

2024-05-22

How to Cite

Soomro, F. A., Ahmed, I., Panhwar, W. A., & Soomro, S. R. (2024). Mathematical and computationalmodeling of migrations, population spread, and Location-dependent carrying capacities . VFAST Transactions on Mathematics, 12(1), 248–263. https://doi.org/10.21015/vtm.v12i1.1797