In the last two decades the world had faced three respiratory syndrome outbreaks incurred by Coronavirus. Though the wild animals are the primary carriers of the virus, the human population managed to survive sacrificing more than 1,600 lives from 2002 to 2012. But the current vi...
Open access
Research Article10.9734/arrb/2020/v35i130182
In this paper, we consider a competitive reaction-diffusion model to describe the existence of travelling wave solutions of two competing species. Moreover, the non-linear system is also studied by introducing different competitive-cooperative coefficients; constant and spatially...
Open access
Research Article10.9734/air/2019/v19i630140
We study a dynamic model describing the cooperation-competition between two species, where the first species diffuses along a smooth distribution function while the second is dispersive randomly. The analysis is designed for weak competition with corresponding coefficients and by...
Open access
Research Article10.9734/PSIJ/2018/42472
A competitive mathematical model for the growth of Streptococcus mutans and Streptococcus sanguis is developed in this study. The main goal of this paper is to investigate the roles of two different growth laws: The logistic growth and the Smith growth to determine the competitio...
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Research Article10.9734/JAMB/2018/41344
In this study, we consider a directed-diffusion system describing the interactions between two organisms in heterogeneous environment. We focus on the effects of two distribution functions while two species are distributed with their corresponding resource function. We determine...
Open access
Research Article10.9734/JAMCS/2018/41247
Background: The world is now in an emergency of preventing the drastic spread of COVID-19. After the infection was first reported in December 2019, almost every country did not pay attention to this highly contaminated disease and failed to react swiftly. Now the whole planet is...
Open access
Research Article10.9734/jalsi/2020/v23i330150
We study the nonlinear parabolic Fisher’s equations for travelling wave solutions. The analyses focus on to describe the analytic solution in the spatial pattern of travelling wave solutions; especially the solutions are characterized in invariant with respect to translation in s...
Open access
Research Article10.9734/ajarr/2019/v3i330089
In this study, we consider Murray’s and Glioma’s tumor growth models based on reaction- diffusion equation. Mathematical modeling of tumor development are involved with the associated experimental work, reasoning the final relationship between experimental and theoretical approac...
Open access
Research Article10.9734/air/2019/v19i130115
This paper explores a two-species non-homogeneous reaction-diffusion model for the study of pattern formation with the Brusselator model. We scrutinize the pattern formation with initial conditions and Neumann boundary conditions in a spatially heterogeneous environment. In the w...
Open access
Research Article10.9734/arrb/2021/v36i530380