Analysis of Dynamical Complex Network of Ecological Stability Diversity and Persistence

Explorations of ecological networks have led a long line of scientists to debate the influence of diversity (number of nodes) in terms of species richness and complexity in terms of the number and structure of interactions. This research on how vast numbers of interacting species manage to coexist in nature reveals a deep disparity between the ubiquity of complex ecosystems in nature and their mathematical improbability in theory. In this paper ecological networks are assumed to be complex dynamical network. Population dynamics is simulated over ecological complex network and species migration and changing food habits are found to be two keystones to species persistence on the earth. Also a comparative study on stability, complexity and persistence over complex dynamical network is shown. Here, we show how integrating models of food-web structure and nonlinear bioenergetic dynamics bridges this disparity and helps elucidate the mechanics of ecological complexity. Structural constraints of these networks including the trophic hierarchy, contiguity, and looping formalized by the “niche model” are shown to greatly increase persistence in complex model ecosystems. We explore the interplay of structure and nonlinear dynamics by systematically varying diversity, complexity, and function in order to “elucidate the devious strategies which make for stability in enduring natural systems.” ([19]) Our exploration expands on previously proposed strategies and shows how recently discovered structural and functional properties of ecological networks appear to promote stability and persistence in large complex ecosystems.