Kamrun Nahar Keya

• Doctor of Philosophy
• Graduate Teaching Assistant at Arizona State University

Gompertz dynamics offer significant applications for the growth of invasive species, cancer modeling, optimal harvesting policies, sustainable yield, and maintaining population levels due to its pattern formation in low-density cases. This paper examines a widely applicable nonhomogeneous diffusive Gompertz law with zero Neumann boundary conditions...

We conducted an experiment on the population of Tribolium confusum under different levels of nutrition (nitrogen, phosphorus, and carbon). The goal of this work is to comprehend the biology of the flour beetle through the use of experimental data and mathematics. We have established a data-driven model using a set of difference equations for two di...

We consider a reaction-diffusion model in population dynamics and study the impact of different types of Allee effects on logistic growth in the heterogeneous closed region. For strong Allee effects, usually, species unconditionally die out, and an extinction-survival situation occurs when the effect is weak according to the resource and sparse fun...

Objectives In this work, we consider a reaction-diffusion model in population dynamics and study the impact of different types of Allee effects with logistic growth in heterogeneous closed region. For strong Allee effects, usually species unconditionally die out and extinction-survival situation occurs when the effects are weak according to the res...

The study considers a directed dynamics reaction-diffusion competition model to study the density of evolution for a single species population with harvesting effect in a heterogeneous environment, where all functions are spatially distributed in time series. The dispersal dynamics describe the growth of the species, which is distributed according...

We study a directed dynamical reaction–diffusion model with no-flux boundary conditions where two populations interact in a spatial heterogeneous closed environment state. Both populations growths are proportional to the same growth law, but the dispersal policies with the migration coefficients differ. The population is diffusing according to thei...

In this paper, we consider a reaction–diffusion model in population dynamics and study the impact of different types of Allee effects with logistic growth in the heterogeneous closed region. For strong Allee effects, usually, species unconditionally die out and an extinction-survival situation occurs when the effect is weak according to the resourc...

The present study is connected to the analysis of a nonlinear system that covered a wide range of mathematical biology in terms of competition, cooperation, and symbiosis interactions between two species. We focus on how populations change their densities when two different species follow the non-symmetric logistic growth laws. We have investigated...

In this study, we consider a directed-diffusion system describing the interactions between two organisms in heterogeneous environment. We focus the effects of two distribution functions while two species are distributed with their corresponding resource function. We determine the global asymptotic stability of semi-trivial as well as the coexistenc...

We study a competition model describing two species which can compete or cooperate, and each of them chooses its dispersion strategy as the tendency to have a distribution proportional to a certain positive prescribed function. The present work is focused on the interplay of population interactions and diffusion strategies. When one of the diffusio...