*Correspondence: [email protected] 1Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an, 710049, China Full list of author information is available at the end of the article Abstract The basic reproductive number R0 of a discrete SIR epidemic model is defined and the dynamical behavior of the model is studied. It is proved that the disease free equilibrium is globally asympto...

The lesser cornstalk borer, Elasmopalpus lignosellus (Zeller) (Lepidoptera: Pyralidae) is an important pest of sugarcane (a complex hybrid of Saccharum spp.) in southern Florida. Reproductive and life table parameters for E. lignosellus were examined at nine constant temperatures from 13 to 36 °C with sugarcane as the larval food source. The pre- and postoviposition periods decreased with incre...

We compare threshold results for the deterministic and stochastic versions of the homogeneous SI model with recruitment, death due to the disease, a background death rate, and transmission rate beta cXY/N. If an infective is introduced into a population of susceptibles, the basic reproduction number, R0, plays a fundamental role for both, though the threshold results differ somewhat. For the de...

In this study, we considered a model for novel COVID-19 consisting on five classes, namely S, susceptible; E, exposed; I, infected; V, vaccinated; and R, recovered. We derived the expression basic reproductive rate R0 studied disease-free endemic equilibrium as well local global stability. addition, extended nonstandard finite difference scheme to simulate our using some real data. Moreover, ke...

A general discrete juvenile-adult population model with time-dependent birth rate and nonlinear survivorship rates is studied. When breeding is continuous, it is shown that the model has a unique globally asymptotically stable positive equilibrium provided the net reproductive number is larger than one. If it is smaller than one, then the extinction equilibrium is globally asymptotically stable...

Soybean flour and wheat germ are the two most important protein components of wheat germ-based insect artificial diets. The effect of modifying the proportion of these two ingredients in a Noctuidae-specific diet was investigated utilizing the tobacco budworm Heliothis virescens (F.) (Lepidoptera: Noctuidae), with the goal of developing a suboptimal diet that, without drastically affecting this...

A malaria model is formulated which includes the enhanced attractiveness of 7 infectious humans to mosquitoes, as result of host manipulation by malaria 8 parasite, and the human behavior, represented by insecticide-treated bed nets 9 usage. The occurrence of a backward bifurcation at R0 = 1 is shown to be 10 possible, which implies that multiple endemic equilibria co-exist with a stable 11 dis...

A non-smooth switched harvest on predators is introduced into a simple predator-prey model with logistical growth of the prey and a bilinear functional response. If the density of the predator is below a switched value, the harvesting rate is linear; otherwise, it is constant. The model links the well studied predator-prey model with constant harvesting to that with a proportional harvesting ra...

background: recent researches have led to find strategies to prevent relapse and to improve survival for gastric cancer patients, including preoperative neo-adjuvant approaches. however, the efficacy of some neo-adjuvant regimens including 5-fluorouracil, cisplatin, and docetaxel have been less investigated. the present study evaluated the outcome and mid-term survival of patients with gastric ...

The basic virus infection model (BVIM) is widely used in the studies of hepatitis B virus (HBV) infection dynamics. The basic infection reproductive number of the BVIM is proportional to the number of all cells of host’s organ prior to the infection. This suggests that the BVIM may not be a reasonable model for describing HBV virus infection since it implies that an individual with smaller live...