Modeling error of $α$-models of turbulence on a two-dimensional torus
Luigi C. Berselli, Argus Adrian Dunca, Roger Lewandowski and Dinh Duong Nguyen

Impulses in driving semigroups of nonautonomous dynamical systems: Application to cascade systems
Everaldo de Mello Bonotto, Matheus Cheque Bortolan, Rodolfo Collegari and José Manuel Uzal

Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell
Xuming Xie

Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions
Pengyu Chen and Xuping Zhang

Sub-critical and critical stochastic quasi-geostrophic equations with infinite delay
Tongtong Liang and Yejuan Wang

Existence-uniqueness and stability of the mild periodic solutions to a class of delayed stochastic partial differential equations and its applications
Qi Yao, Linshan Wang and Yangfan Wang

Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection
Lin Lu, Qi Wang, Yongzhong Song and Yushun Wang

Invasion dynamics of a diffusive pioneer-climax model: Monotone and non-monotone cases
Yuxiang Zhang and Shiwang Ma

Propagation phenomena for a criss-cross infection model with non-diffusive susceptible population in periodic media
Liangliang Deng and Zhi-Cheng Wang

Novel entire solutions in a nonlocal 2-D discrete periodic media for bistable dynamics
Zhixian Yu, Rong Yuan and Shaohua Gan

On a matrix-valued PDE characterizing a contraction metric for a periodic orbit
Peter Giesl

Threshold dynamics of a delayed nonlocal reaction-diffusion cholera model
Weiwei Liu, Jinliang Wang and Yuming Chen

A stochastic differential equation SIS epidemic model with regime switching
Siyang Cai, Yongmei Cai and Xuerong Mao

A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation
Leilei Wei and Yinnian He

On existence and uniqueness properties for solutions of stochastic fixed point equations
Christian Beck, Lukas Gonon, Martin Hutzenthaler and Arnulf Jentzen

A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition
Abdelghafour Atlas, Mostafa Bendahmane, Fahd Karami, Driss Meskine and Omar Oubbih

A comparative study of atomistic-based stress evaluation
Shuyang Dai, Fengru Wang, Jerry Zhijian Yang and Cheng Yuan

Asymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equations
Zhenzhen Wang and Tianshou Zhou

Stochastic modelling and analysis of harvesting model: Application to "summer fishing moratorium" by intermittent control
Xiaoling Zou and Yuting Zheng

Traveling wave solutions for a cancer stem cell invasion model
Caleb Mayer and Eric Stachura

Global boundedness of classical solutions to a logistic chemotaxis system with singular sensitivity
Xiangdong Zhao

Persistence and extinction of a stochastic SIS epidemic model with regime switching and Lévy jumps
Shangzhi Li and Shangjiang Guo

Long time localization of modified surface quasi-geostrophic equations
Guido Cavallaro, Roberto Garra and Carlo Marchioro

Recurrent solutions of the Schrödinger-KdV system with boundary forces
Mo Chen

Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases
Hiroshi Ito