This study examines traveling wave solutions of the SIS epidemic model with nonlocal dispersion and delay. The research shows that a key factor in determining whether traveling waves exist is the basic reproduction number R0. In particular, the system permits nontrivial traveling wave solutions for σ≥σ∗ for R0>1, whereas there are no such solutions for σ<σ∗. This is because there is a minimal wave speed σ∗>0. On the other hand, there are no traveling wave solutions when R0≤1. In conclusion, we provide several numerical simulations that illustrate the existence of TWS.

Abstract Intrahepatic cholestasis is clinical syndrome which cause either by defect in synthesis or bile acid flow, the pathophysiology of cholestasis is complicated by a number of  variables, including oxidative stress, inflammatory response, and  dysregulation of bile acid transporter . Rats, mice, and guinea pigs were utilized as experimental animals, and ANIT was administered to them in order to create a model that closely resembled intrahepatic cholestasis in human. This study examined the protective effects of papaverine, a non-narcotic opium alkaloid derived from papaver somniferum and discovered as an FXR agonist, on cholestasis in rats induced by alpha-naphthylisothiocyanate (ANIT). Rats utilized in this study divid

This study investigates the influence of fear, refuge, and migration in a predator–prey model, where the interactions between the species follow an asymmetric function response. In contrast to some other findings, we propose that prey develop an anti-predator response in response to a concentration of predators, which in turn increases the fear factor of the predators. The conditions under which all ecologically meaningful equilibrium points exist are discussed in detail. The local and global dynamics of the model are determined at all equilibrium points. The model admits several interesting results by changing the rate of fear of predators and predator aggregate sensitivity. Numerical simulations have been performed to verify our theoret

Osmotin and osmotin-like proteins belong to the PR-5 pathogenesis-related group of proteins and are induced in response to various types of biotic and abiotic stresses in several plant species. Carrot was transformed with a tobacco osmotin gene that encodes a protein lacking the vacuolar-sorting motif that is composed of a 20-amino-acid sequence at the C-terminal end, under the control of the cauliflower mosaic virus 35S promoter, using Agrobacterium-mediated transformation. Transgene integration and expression were confirmed by Southern and western blot analyses, and three selected transgenic lines were evaluated for their ability to tolerate drought stress. Under drought stress conditions, all transformants exhibited slower rates of wilti