Study of a discretized fractional-order eco-epidemiological model with prey infection
نویسندگان
چکیده
منابع مشابه
A Ratio-dependent Eco-epidemiological Model Incorporating a Prey Refuge
The present paper deals with the problem of a ratio-dependent predator-prey model incorporating a prey refuge with disease in the prey-population. We assume the predator population will prefer only infected population for their diet as those are more vulnerable. Dynamical behaviours such as boundedness, local and global stability are addressed. We have also studied the effect of discrete time d...
متن کاملDiscretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos
This paper deals with a ratio-dependent functional response predator-prey model with a fractional order derivative. The ratio-dependent models are very interesting, since they expose neither the paradox of enrichment nor the biological control paradox. We study the local stability of equilibria of the original system and its discretized counterpart. We show that the discretized system, which is...
متن کاملStability analysis of a fractional order prey-predator system with nonmonotonic functional response
In this paper, we introduce fractional order of a planar fractional prey-predator system with a nonmonotonic functional response and anti-predator behaviour such that the adult preys can attack vulnerable predators. We analyze the existence and stability of all possible equilibria. Numerical simulations reveal that anti-predator behaviour not only makes the coexistence of the prey and predator ...
متن کاملNumerical solution of a fractional order model of HIV infection of CD4+T cells.
In this paper we consider a fractional order model of HIV infection of CD4+T cells and we transform this fractional order system of ordinary differential equations to a system of weakly singular integral equations. Afterwards we propose a Nystrom method for solving resulting system, convergence result and order of convergence is obtained by using conditions of existence and uniqueness of solut...
متن کاملAsymptotic behavior of a diffusive eco-epidemiological model with an infected prey population
We study a diffusive predator-prey system with a ratio-dependent functional response when a prey population is infected under homogeneous Neumann boundary condition. All non-negative and positive equilibria are investigated, and the conditions that give rise to asymptotic behavior of these equilibria are examined. In particular, we present a biological interpretation of disease-free and total e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractional Differential Calculus
سال: 2020
ISSN: 1847-9677
DOI: 10.7153/fdc-2020-10-07