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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
Shyam  KumarShyam Kumar1Preet  MishraPreet Mishra1R.K. Brojen  SinghR.K. Brojen Singh1,2*
  • 1Jawaharlal Nehru University School of Computational and Integrative Sciences, New Delhi, India
  • 2Jawaharlal Nehru University, New Delhi, India

The final, formatted version of the article will be published soon.

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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