| Abstract: |
| The understanding of the structure of ecological networks is inadequate in many areas. We need tools to explain why some species persist. Networks are often presented as graphs where each species is a node, and edges represent species interactions. Which links are crucial for the robustness of the network, links without which the system is fragile and species are lost? How many and which species must be removed from a fragile network for it to become robust? We develop a theory of die-outs where many Lyapunov die-out functions are needed. |
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