2015/10/02 by Vladimir Kozlov, Kozlov, Vladimir, Sergey Vakulenko +3
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · Mathematics · Social Sciences · #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Mathematics #Plant and animal studies #math.AP
paper · pdf · doi:10.48550/arxiv.1510.00558
arxiv created 2015/10/02 · openalex publication_date 2015/10/02 · arxiv updated 2015/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate global stability and dynamics of large ecological networks by classical methods of the dynamical system theory, including Hamiltonian methods, and averaging. Our analysis exploits the network topological structure, namely, existence of strongly connected nodes (hubs) in the networks. We reveal new relations between topology, interaction structure and network dynamics. We describe mechanisms of catastrophic phenomena leading to sharp changes of dynamics and investigate how these phenomena depend on ecological interaction structure. We show that a Hamiltonian structure of interaction leads to stability and large biodiversity.