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Control studies in ecological models of networks involving invasive plantscan offer tangible management strategies. Framing control policies to tackleproblems posed by invasive plants on indigenous plant diversity under thesustainable developmental goals framework is the main motivation of this paper.Based on the reported experimental and theoretical observations, we proposeminimal ecological models of direct interactions of \textit{Lantana camara}with other entitites e.g. other indigenous plants (denoted by Control-plant)and soil microbes. The species' abundance variables represented by the nodes inthe model networks follow generalized Lotka-Volterra dynamics and input signalsare incorporated at appropriate driver nodes to control the \textit{Lantanacamara} outgrowth. Analysis with Lie algebra and controllability criteriashowed that our model systems are controllable with minimum of two controlinput signals. Analytical results of our model equations indicated thatsuccessive interventions are required to increase the abundance ofcontrol-plant, the microbes and suppress \textit{Lantana camara}. We observedfrom the numerical analysis with LQR algorithm that the number of interventionsto be taken to control the \textit{Lantana camara} outgrowth depends on thechoice of various important parameters such as intervention time, effort andpenalty etc. Further, the increase in nonlinear terms contributed fromself-loops in the network model shows the persistence of \textit{L. camara} andhow it drives the coexistence of the species. We propose that parameters wehave identified in our study needed to be considered and analyzed extensivelyfor designing sustainable policies to control invasive species in an ecosystem.

Network based control strategies for sustainable management of Lantana camara