Presentation Information
[SS18-02]Group Inverses for Understanding Heterogeneity in Metapopulation Dynamics
*Zhisheng Shuai1 (1. University of Central Florida (United States of America))
Keywords:
metapopulation,heterogeneity,population persistence,disease invasion,generalized inverse
Understanding the effects of spatial and temporal heterogeneity on population dynamics is crucial in ecological and epidemiological modeling. In this talk, we explore the application of group inverses to quantify and analyze variability in population persistence, growth rates, and disease invasibility. By leveraging this mathematical framework, we examine how habitat heterogeneity, resource distribution, and migration patterns influence population stability and resilience. Our approach provides novel insights into the role of environmental variability in shaping long-term population outcomes, with implications for conservation strategies, ecological management, and infectious disease prevention.