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Emergent dynamics in ecological networks: Spreading of disease and its control

The proposal focuses on emergent collective behaviors in complex networks of dynamical systems where each node of the networks is represented by ecological models. We emphasize networks of different topologies, like globally coupled, non-locally coupled and scale-free networks. We consider different parameter situations, viz. identical nodes, nodes with distributed parameters and, then locate the parameter space of the onset of synchrony in ecological networks. We explore whether chimera-like states originate in the networks of identical ecological patches, when the whole population of the network divides into two coexisting synchronous and non-synchronous subpopulations. This is to develop an understanding whether such coexistence of synchronous and non-synchronous states is a better prescription for the survival of species. For this we explore both the steady state behaviors and oscillatory regime of the dynamical units in the networks. We particularly search for multi-clustered inhomogeneous steady states. Furthermore, we consider eco- epidemiological models (where both ecological and epidemiological issues are considered simultaneously) in the network and try to understand the process of spreading of epidemics in an ecological network. Finally, we search for a control strategy to stop the spreading of disease in the network.



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