Publications (22)
Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model
Wenjie Ni, Junping Shi, Mingxin Wang
The global stability of the nonhomogeneous positive steady state solution to a diffusive Holling-Tanner predator-prey model in a heterogeneous environment is proved by using a newl…
Dynamics of a Reaction-Diffusion Benthic-Drift Model with Strong Allee Effect Growth
Yan Wang, Junping Shi
The dynamics of a reaction-diffusion-advection benthic-drift population model that links changes in the flow regime and habitat availability with population dynamics is studied. In…
Minimum number of non-zero-entries in a stable matrix
Christopher Hambric, Chi-Kwong Li, Diane Christine Pelejo +1
We prove that if a matrix is potentially stable, then it has at least 11 non-zero entries. The results for matrix with up to 6 are known previously. We…
Global dynamics of a Lotka-Volterra competition patch model
Shanshan Chen, Junping Shi, Zhisheng Shuai +1
The global dynamics of the two-species Lotka-Volterra competition patch model with asymmetric dispersal is classified under the assumptions of weak competition and the weighted dig…
Population dynamics in river networks
Yu Jin, Rui Peng, Junping Shi
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 cons…
Bistability in a differential equation model of oyster reef height and sediment accumulation
William C. Jordan-Cooley, Romuald N. Lipcius, Leah B. Shaw +2
Native oyster populations in Chesapeake Bay have been the focus of three decades of restoration attempts, which have generally failed to rebuild the populations and oyster reef str…