ENWEndNote BIBJabRef, Mendeley RISPapers, Reference Manager, RefWorks, Zotero AMA Qian L, Bian G, Zhou Y, et al. Short communicationClinical significance of regulatory B cells in the peripheral blood patients with oesophageal cancer. Central European Journal Immunology. 2015;40(2):263-265. doi:10.5114/ceji.2015.52840. APA Qian, L., Bian, G., Zhou, Y., Wang, Hu, J., & Liu, X. (2015). Immunology, 40(2), 263-265. https://doi.org/10.5114/ceji.2015.52840 Chicago Li, Guang-Rong Yan Juan Xia and...

In this paper, we investigate the complex dynamics of a predator-prey model, specifically Leslie-Gower with additive Allee effect and simplified Holling Ⅲ functional response. The model has been analyzed for various bifurcations, including nilpotent cusp singularity codimension 3, Bogdanov-Takens bifurcation Hopf 2. Additionally, 2 limit cycles coexistent acute angle region three have identified. Notably, isola cycles, which indicates new mechanism sustained oscillation, observed first time...

Abstract In this paper, we study a predator–prey mite model of Leslie type with generalized Holling IV functional response. The is shown to have very rich bifurcation dynamics, including subcritical and supercritical Hopf bifurcations, degenerate bifurcation, focus‐type cusp‐type Bogdanov–Takens bifurcations codimension 3, originating from nilpotent focus or cusp 3 that acts as the organizing center for set. Coexistence multiple steady states, limit cycles, homoclinic cycles also found....

<p style='text-indent:20px;'>A depletion-type reaction-diffusion Gierer-Meinhardt model with Langmuir-Hinshelwood reaction scheme and the homogeneous Neumann boundary conditions is introduced investigated in this paper. Firstly, boundedness of positive solution parabolic system given, constant steady state solutions are exhibited by Shengjin formulas. Through rigorous theoretical analysis, stability corresponding explored. Next, a priori estimates, properties nonconstant states,...

<p style='text-indent:20px;'>In this paper, we propose a Rosenzweig–MacArthur predator-prey model with strong Allee effect and trigonometric functional response. The local global stability of equilibria is studied, the existence bifurcation determined in terms carrying capacity prey, death rate predator effect. An analytic expression employed to determine criticality codimension Hopf bifurcation. supercritical non-existence Bogdanov–Takens at positive equilibrium are proved. A...

Reversible variational partial differential equations such as the Swift–Hohenberg equation can admit localized stationary roll structures whose solution branches are bounded in parameter space but unbounded function space, with width of plateaus increasing without bound along branch: this scenario is commonly referred to snaking. In work, structure bifurcation diagrams rolls investigated for non-reversible systems, and conditions derived that guarantee snaking or result either consist...

We consider local and global bifurcations in a HIV model with cell-to-cell transmission vectored immunoprophylaxis. Both theoretical numerical analyses are conducted to explore various dynamical behaviors including backward bifurcation, Hopf homoclinic Bogdanov–Takens hysteresis isola bifurcation. The bifurcation of periodic orbits was first detected numerically model, which means that there is parameter interval the same oscillations. It shown effect immunoprophylaxis this main cause...

In this paper, a Rosenzweig-MacArthur predator-prey model with intraspecific competition of predators and Holling type Ⅱ functional response prey refuge is investigated by using dynamical approach. We study the number positive equilibria, local global dynamics including Hopf bifurcation, saddle-node Bautin bifurcation. provide coexistence stable unstable limit cycles. particular, we show hydra effect that describes predator's mortality, as well effects among predators, on population density....

In this paper, a delayed virus infection model with cell-to-cell transmission and CTL immune response is investigated. the model, time delay incorporated into response. By constructing Lyapunov functionals, global dynamical properties of two boundary equilibria are established. Our results show that in process may lead to sustained oscillation. To further investigate nature oscillation, we apply method multiple scales calculate normal form on center manifold model. At end numerical...

<p style='text-indent:20px;'>In this paper, the nonlinear dynamics of a SIRS epidemic model with vertical transmission rate neonates, incidence and recovery are investigated. We focus on influence public available resources (especially number hospital beds) disease control transmission. The existence stability equilibria analyzed basic reproduction as threshold value. conditions for transcritical bifurcation, Hopf saddle-node backward bifurcation normal form Bogdanov-Takens obtained....

In this paper, a SI-SEIR type avian influenza epidemic model with psychological effect, nonlinear recovery rate and saturation inhibition effect is formulated to study the transmission control of virus. By setting basic reproductive number as threshold parameter constructing Lyapunov function, Dulac function using Li-Muldowney's geometry approach, we prove local global stability disease-free equilibria endemic equilibrium. Theoretical analysis are carried out show role effective medical...

Heteroclinic bifurcations with orbit-flips and inclination-flips are investigated in a four-dimensional reversible system by using the method originally established [Zhu, 1998; Zhu & Xia, 1998]. The existence coexistence of R-symmetric homoclinic orbit heteroclinic orbit, periodic obtained. double bifurcation is found, continuum orbits accumulating into also demonstrated. Moreover, surfaces regions given, corresponding diagrams drawn.

In this paper, we propose a diffusive SIRS model with general incidence rate and spatial heterogeneity. The formula of the basic reproduction number $ \mathcal R_0 is given. Then threshold dynamics, including globally attractive disease-free equilibrium uniform persistence, are established in terms \mathcal{R}_0 $. Special cases numerical simulations presented to support our main results.

In most HIV models, the emergence of backward bifurcation means that control for basic reproduction number less than one is no longer effective treatment. this paper, we study an model with CTL response and cell‐to‐cell transmission by using dynamical approach. The local global stability equilibria investigated, relations subcritical Hopf supercritical points are revealed, especially, so‐called new type also found two curves meeting at same Bogdanov–Takens point. Forward bifurcation,...

Previous work has shown that intracellular delay needs to be taken into account accurately determine the half-life of free virus from drug perturbation experiments [1]. The also effects estimated value for infected T-cell loss rate when we assume is not completely effective [19]. Models infection include are more accurate representations biological data. We analyze a non-linear model human immunodeficiency (HIV) considers interaction between replicating virus, CD4+ and cytotoxic-lymphocytes...