In this paper, we consider the diffusive Nicholson's blowflies model in spatially heterogeneous environment when diffusion rate is large. We show that ratio of average maximum per capita egg production to death affects dynamics model. The unique positive steady state locally asymptotically stable if less than a critical value. However, greater value, large time delay can make unstable through H...

The aim of this work is to study a modified version the four-dimensional Lotka-Volterra model. In model, all four species grow logistically. This model has at most sixteen possible equilibrium points. Five them always exist without any restriction on parameters while existence other points subject fulfillment some necessary and sufficient conditions. Eight are unstable rest locally asymptotical...

In this paper we the study of dynamics time since infection structured vector born model with direct transmission. We use standard incidence term to new infections. analyze corresponding system partial differential equation and obtain an explicit formula for basic reproduction number ℜ 0 . The diseases-free equilibrium is locally globally asymptotically stable whenever less than one, < 1. En...

Motivated by the observation that most companies are more likely to consider job applicants suggested by their employees than those who apply on their own, Arcaute and Vassilvitskii modeled a job market that integrates social networks into stable matchings in an interesting way. We call their model HR+SN because an instance of their model is an ordered pair (I,G) where I is a typical instance o...

Excellent student’s academic performance is the uppermost priority and goal of educators facilitators. The dubious marginal rate between admission graduation rates unveils dropout withdrawal from school. To improve students, we optimize indices to dynamics describing in form nonlinear system ODE. We established uniform boundedness model existence uniqueness result. independence interdependence ...

Covid-19 is a deadly infectious disease that occurs throughout the world. Therefore, it necessary to prevent transmission of such as vaccination. The purpose this research modify model spread from previous model. equilibrium points and basic reproduction number ( ) modified determined. Then stability analysis was carried out numerical simulation see dynamics population occurred. performed on ob...