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We study the following chemotaxis system$ \begin{equation*} \left\{ \begin{array}{ll} u_{t} = \Delta u-\chi\nabla \cdot (u\nabla v)+\eta(u-u^{m}),\ &\ \ x\in \Omega, \ t>0,\\[2.5mm] v_{t} = \Delta v-u^{\theta}vw, \ &\ \ x\in \Omega, \ t>0,\\[2.5mm] 0 = \Delta w-w+u^{\alpha}, \ &\ \ x\in \Omega, \ t>0 , \end{array} \right. \end{equation*} $in a smooth and bounded domain $ \Omega\subset\mathbb{R}^{n}(n\geq 2) $ under homogeneous Neumann boundary conditions, where $ \chi, \eta, \alpha,\theta>0 $ and $ m>1. $ It has been shown that if $ l_{0} = \max\{\alpha,\theta\} $ and $ m $ satisfy$ \begin{equation*} \left\{ \begin{array}{ll} m>l_{0}(n+2),\ &\ \ \mbox{if} \ l_{0}>\frac{1}{n+2},\\[2.5mm] m>1, \ &\ \ \mbox{if} \ 0

In this paper, we study the following quasilinear chemotaxis system { u t = Δ u − χ ∇ ⋅ (φ (u) ∇ v) − ξ ∇ ⋅ (ψ (u) ∇ w) + f (u) , x ∈ Ω , t > 0 , 0 = Δ v − v + v 1 γ 1 , 0 = Δ v 1 − v 1 + u γ 2 , x ∈ Ω , t > 0 , 0 = Δ w − w + w 1 γ 3 , 0 = Δ w 1 − w 1 + u γ 4 , x ∈ Ω , t > 0 , in a smoothly bounded domain Ω ⊂ R n (n ≥ 1) with homogeneous Neumann boundary conditions, where φ (ϱ) ≤ ϱ (ϱ + 1) θ − 1 , ψ (ϱ) ≤ ϱ (ϱ + 1) l − 1 and f (ϱ) ≤ a ϱ − b ϱ s for all ϱ ≥ 0 , and the parameters satisfy a , b , χ , ξ , γ 2 , γ 4 > 0 , s > 1 , γ 1 , γ 3 ≥ 1 and θ , l ∈ R. It has been proven that if s ≥ max { γ 1 γ 2 + θ , γ 3 γ 4 + l } , then the system has a nonnegative classical solution that is globally bounded. The boundedness condition obtained in this paper relies only on the power exponents of the system, which is independent of the coefficients of the system and space dimension n. In this work, we generalize the results established by previous researchers. In this paper, we study the following quasilinear chemotaxis system in a smoothly bounded domain with homogeneous Neumann boundary conditions, where and for all and the parameters satisfy and It has been proven that if then the system has a nonnegative classical solution that is globally bounded. The boundedness condition obtained in this paper relies only on the power exponents of the system, which is independent of the coefficients of the system and space dimension In this work, we generalize the results established by previous researchers. [ABSTRACT FROM AUTHOR]

Toxoplasma gondii infections are prevalent in animals and humans worldwide. In the present investigation, the seroprevalence of T. gondii in goats was investigated in Hunan province, subtropical China between March 2014 and December 2015. A total of 1,028 serum samples collected from 14 administrative regions of Hunan province were evaluated by the indirect hemagglutination test (IHAT) for the detection of specific antibodies. Antibodies to T. gondii were detected in 124 serum samples (12%). The T. gondii seroprevalence ranged from 1.7% to 19% among different regions in subtropical China, and the differences were statistically significant (p

The indirect competitive enzyme-linked immunosorbent assay(ic-ELISA) and direct competitive enzyme-linked immunosorbent assay(dc-ELISA) were performed for the rapid detection of aflatoxin B_1(AFB_1) in Astragali Radix, Zingiberis Rhizoma Recens, Jujubae Fructus, and Nelumbinis Semen with self-made antigens and antibodies. Different extraction methods were investigated to reduce the matrix effects of different medicinal parts in Chinese herbal medicines. The sensitivity of dc-ELISA method was improved by optimizing the molar ratio of AFB_1 to horseradish peroxidase(HRP). In this study, the sensitivity(IC_(50)) of ic-ELISA and dc-ELISA was 0.046 and 0.023 ng·mL~(-1), with the limit of detection(LOD) of 0.007 and 0.004 ng·mL~(-1), respectively. The detection time was 3 h and 50 min for ic-ELISA and dc-ELISA, respectively. The recovery rates were within the range of 62.96%-104.4%, with RSDs of less than 10%. Confirmed by LC-MS/MS, three positive samples of Nelumbinis Semen were detected from 53 samples. Two ELISA methods established in this study were accurate, rapid and sensitive, and can be used for rapid screening of AFB_1 in Chinese herbal medicines such as Astragali Radix, Zingiberis Rhizoma Recens, Jujubae Fructus, and Nelumbinis Semen. In addition, the advantages and limitations of the two methods were compared and discussed, which can provide a reference for the testing institutions to choose the proper method.