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Muhammad Usman

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Integrability of a Verhulst biological population model via Lie point symmetries

Purpose This study focuses on understanding species population dynamics through a (3 + 1)-dimensional biological population model governed by Verhulst's logistic growth law. The main objective is to explore how nonlinear growth and spatial diffusion mechanisms influence the evolution of populations over time and space....

Muhammad Usman, Akhtar Hussain, Raheel Riasat et al. · 0 citations

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