<p style='text-indent:20px;'>This work considers a pursuit-evasion model</p><p style='text-indent:20px;'><disp-formula><label/><tex-math id="FE1000">\begin{document}$\begin{equation} \left\{ \begin{split} &u_t = \Delta u-\chi\nabla\cdot(u\nabla w)+u(\mu-u+av),\\ &v_t v+\xi\nabla\cdot(v\nabla z)+v(\lambda-v-bu),\\ &w_t w-w+v,\\ &amp...

<p style='text-indent:20px;'>Consider the second order nonautonomous lattice systemswith singular perturbations</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \epsilon \ddot{u}_{m}+\dot{u}_{m}+(Au)_{m}+\lambda_{m}u_{m}+f_{m}(u_{j}|j\in I_{mq}) = g_{m}(t),\; \; m\in \mathbb{Z}^{k},\; \epsilon&amp...

<p style='text-indent:20px;'>We study the structure of positive solutions to steady state ecological models form:</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{array}{l} \left\{ \begin{split} -\Delta u& = \lambda uf(u)\; \; && {\rm{in}}\; \Omega,\\ \alpha(u)&\frac{\partial ...

<p style='text-indent:20px;'>This paper deals with a quasilinear chemotaxis system nonlinear signal production</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{eqnarray*} \label{1a} \left\{ \begin{split}{} & u_t = \nabla\cdot(\phi(u)\nabla u)-\chi\nabla\cdot(\psi(u)\nabla v), (x, t)\in \Omega\times (...

Human immunodeficiency virus (HIV) infection begins with fusion between viral and host cell membranes and is catalyzed by the HIV gp41 fusion protein. The ∼20 N-terminal apolar residues of gp41 are called the HIV fusion peptide (HFP), interact with the host cell membrane, and play a key role in fusion. In this study, the membrane location of peptides which contained the HFP sequence (AVGIGALFLG...

Computational intelligence refers to an algorithm inspired by the body structure of natural animals and plants unique landscapes. It can perform simultaneous multithreaded work. In processing process food industry, multiple factors must be considered at same time optimize various parameters simultaneously. Therefore, this research combines computational algorithms with flow conducts on optimiza...

<p style='text-indent:20px;'>We devote to studying the condition of a holomorphic function <inline-formula><tex-math id="M1">\begin{document}$ g $\end{document}</tex-math></inline-formula> in complex unit ball id="M2">\begin{document}$ \mathbb{B}_n so that Volterra operator id="M3">\begin{document}$ T_g:A_\alpha^2\to A_\alpha^2 belongs Schatten id="M4">\be...

<p style='text-indent:20px;'>The Hamming ball of radius <inline-formula><tex-math id="M1">\begin{document}$ w $\end{document}</tex-math></inline-formula> in id="M2">\begin{document}$ \{0,1\}^n is the set id="M3">\begin{document}$ \mathcal{B}(n,w) all binary words length id="M4">\begin{document}$ n and weight at most id="M5">\begin{document}$ $\end{docum...

<p style='text-indent:20px;'>In this paper, we consider a homogeneous Neumann initial-boundary value problem (IBVP) for the following two-species and two-stimuli chemotaxis model with both paracrine autocrine loops:</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \label{IBVP} \left\{ \begin{align...

The wide field electromagnetic method E_Ex observation requires the horizontal electrical source (AB) to be parallel measure station (MN), but complex terrain conditions make it difficult meet AB MN in construct...