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Computational Ecology and Software, 2026, 16(4): 287-301
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Article

A dynamic model for balanced biomass growth under management effort and technological capability

Deepika Marwar1, Alok Malviya1, Shyam Sundar2, Maninder Singh Arora3
1Department of Mathematics, V.S.S.D. (P.G.) College, Kanpur, U.P. - 208001, India
2epartment of Basic Sciences and Humanities, Pranveer Singh Institute of Technology, Kanpur, U.P. - 209305, India
3Department of Mathematics, P.P.N. (P.G.) College, Kanpur, U.P. - 208002, India

Received 19 May 2026;Accepted 25 June 2026;Published 1 December 2026
IAEES

Abstract
The prolonged improvement of resource biomass density has become increasingly rigorous due to booming environmental stress and the limited capacity of natural systems to renew. This work creates a nonlinear mathematical framework to examine how technological advancement combined with continual management effort can support biomass growth while ensuring sustainability. The proposed model captures the interactions among biomass density, technological capability, and management effort through a system of coupled ordinary differential equations. The analysis identifies more than one equilibrium states, including demolition, partial persistence, and a positive interior equilibrium that corresponds to the justifiable coexistence of biomass, technology, and effort. Under realistic parameter conditions, numerical simulation shows that consistent technological capability, when applied through controlled management effort, plays a critical role in increasing biomass density and reducing the danger of resource degradation. In addition, sensitivity analysis using Partial Rank Correlation Coefficient (PRCC) highlights the proportional impact of key parameters. Overall, the model provides significant theoretical insights into technology-effort interactions in resource management and serves as a useful tool for informing sustainable strategies targeted at raising biomass density through well planned technological interventions.

Keywords biomass density;technological capability;management effort;sensitivity.


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