BRIEF RESEARCH REPORT article
Front. Ecol. Evol.
Sec. Models in Ecology and Evolution
Optimal Control of Lantana camara: An Entropy-Based Sustainable Strategy
Provisionally accepted- 1Jawaharlal Nehru University School of Computational and Integrative Sciences, New Delhi, India
- 2Jawaharlal Nehru University, New Delhi, India
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Framing control policies to mitigate the impact of invasive plants on indigenous biodiversity within the Sustainable Development Goals (SDG) framework is the primary objective of this work. Using reported ecological dynamics of the invasive species Lantana camara, we develop a minimal three-species network model, where each node follows generalized Lotka-Volterra (GLV) dynamical equations. Employing Lie algebra and network control theory, we establish the model's controllability and accessibility criteria. Through nonlinear optimization programming, we derive sustainable policies for controlling abundances of Lantana camara. We have also used Shannon entropy as an indicator to assess the sustainability of these optimal policies. The analysis of the sensitivity measured using this technique reveals that the control strategy is critically dependent on the ratio of the intrinsic growth rates of the Lantana camara and the control plant. Thus, we get a modular algorithmic decision support mechanism for designing control policies to manage Lantana camara abundances.
Keywords: Lantana camara, Generalized Lotka-Volterra, Shannon entropy, Sustainable development goals, sensitivity analysis
Received: 10 Jun 2025; Accepted: 17 Dec 2025.
Copyright: © 2025 Kumar, Mishra and Singh. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: R.K. Brojen Singh
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