supported by the National Natural Science Foundation of China(Grant Nos.62073172,62233004,62073076);the Natural Science Foundation of Jiangsu Province of China(Grant No.BK20221329);Jiangsu Provincial Scientific Research Center of Applied Mathematics(Grant No.BK20233002).
Traditionally,the spatiotemporal dynamics of neural networks have been analyzed in the locally continuous domain.While this modeling approach is straightforward and practical,it fails to encapsulate real-world network...
In this paper, we establish an SIR reaction-diffusion infectious disease model with saturated incidence rate and vaccination. Firstly, we prove the uniform boundedness of the solution of this model. Secondly, we estab...
supported by the National Natural Science Foundation of China(Grant Nos.22132004,22072057,and 12171117).
In this paper,we investigate the dynamics of a reaction-diffusion Nicholson's blowfies equation with advection.The stability of positive steady state and existence of Hopf bifurcation are obtained by analyzing the dis...
L.Zhao was supported by the National Natural Science Foundation of China(12161052);Natural Science Foundation of Gansu,China(21JR7RA240).
In this paper,we focus on asymptotic speeds of spread for a reaction-diffusion two-group SIR epidemic model with constant recruitment,which lacks the comparison principle.More precisely,if R_(0)<1,then the solution of...
In this paper,we consider a Leslie-Gower type reaction-diffusion predator-prey system with an increasing functional response.We mainly study the effect of three different types of diffusion on the stability of this sy...
supported by the NNSF of China(Grant No.12061032).
This work is devoted to investigate the global asymptotic stability of equilibriums for a reaction-diffusion susceptible-infected-susceptible(SIS)epidemic model with spatial heterogeneity and mass-action-type nonlinea...
supported by National Natural Science Foundation of China(Grant No.11790273,52276028).
The existence and stability of stationary solutions for a reaction-diffusion-ODE system are investigated in this paper.We first show that there exist both continuous and discontinuous stationary solutions.Then a good ...
supported by Scientific Research and Innovation Fund for PhD Student:Research on the bifurcation problems of diffusive oncolytic virotherapy system(No.3072022CFJ2401).
Aiming at the spatial pattern phenomenon in biochemical reactions,an enzyme-reaction Sporns-Seelig model with cross-diffusion is chosen as study object.Applying the central manifold theory,normal form method,local Hop...
supported by the National Key R&D Program of China(No.2023YFF0719800).
In this research,a novel method for regulating components in RE_(2)SiO_(5)/RE_(2)Si_(2)O_(7)multiphase silicates was developed,combining the benefits of a suitable thermal expansion coefficient(CTE)and outstanding cor...
Project supported by the National Natural Science Foundation of China (Grant No. 62073172);the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20221329)。
A dynamical model is constructed to depict the spatial-temporal evolution of malware in mobile wireless sensor networks(MWSNs). Based on such a model, we design a hybrid control scheme combining parameter perturbation...