59 citations · 67 across the 5 of their papers we have counts for
5 papers
Model of Algal Growth Depending on Nutrients and Inorganic Carbon in a Poorly Mixed Water Column
Jimin Zhang, Junping Shi, Xiaoyuan Chang
In this paper, we establish a reaction-diffusion-advection partial differential equation model to describe the growth of algae depending on both nutrients and inorganic carbon in a…
Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems
Qingyan Shi, Junping Shi, Yongli Song
Some quantities in the reaction-diffusion models from cellular biology or ecology depend on the spatial average of density functions instead of local density functions. We show tha…
Spectral Monotonicity of Perturbed Quasi-positive Matrices with Applications in Population Dynamics
Shanshan Chen, Junping Shi, Zhisheng Shuai +1
Threshold values in population dynamics can be formulated as spectral bounds of matrices, determining the dichotomy of population persistence and extinction. For a square matrix $μ…
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix
Shanshan Chen, Junping Shi, Zhisheng Shuai +1
The dynamics of an SIS epidemic patch model with asymmetric connectivity matrix is analyzed. It is shown that the basic reproduction number is strictly decreasing with respec…
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…