Population dynamics in river networks

Abstract

Natural rivers connect to each other to form networks. The geometric structure of a river network can significantly influence spatial dynamics of populations in the system. We consider a process-oriented model to describe population dynamics in river networks of trees, establish the fundamental theories of the corresponding parabolic problems and elliptic problems, derive the persistence threshold by using the principal eigenvalue of the eigenvalue problem, and define the net reproductive rate to describe population persistence or extinction. By virtue of numerical simulations, we investigate the effects of hydrological, physical, and biological factors, especially the structure of the river network, on population persistence.

References in corpus (4)

• Gaussian estimates for a heat equation on a network
• Variational and Semigroup Methods for Waves and Diffusion in Networks
• Diffusion in networks with time-dependent transmission conditions
• The Fisher-KPP equation over simple graphs: Varied persistence states in river networks

Cited by in corpus (6)

• Selected topics on reaction-diffusion-advection models from spatial ecology
• Enhancing Population Persistence by a Protection Zone in a Reaction-Diffusion Model with Strong Allee Effect
• Long-time behavior of a reaction-diffusion model with strong Allee effect and free boundary: effect of a protection zone
• The role of protection zone on species spreading governed by a reaction-diffusion model with strong Allee effect
• The Fisher-KPP equation over simple graphs: Varied persistence states in river networks
• Dynamics of a Reaction-Diffusion Benthic-Drift Model with Strong Allee Effect Growth