Population dynamics with fractional equations (Predator-Prey)
نویسندگان
چکیده
منابع مشابه
The Lotka-Volterra Predator-Prey Equations
One may find out the application of mathematics in the areas of ecology, biology, environmental sciences etc. Mathematics is particulary used in the problem of predator-prey known as lotka-Volterra predator-prey equations. Indeed, differential equations is employed very much in many areas of other sciences. However, most of natural problems involve some unknown functions...
متن کاملThe Dynamical Analysis of a Delayed Prey-Predator Model with a Refuge-Stage Structure Prey Population
A mathematical model describing the dynamics of a delayed stage structure prey - predator system with prey refuge is considered. The existence, uniqueness and bounded- ness of the solution are discussed. All the feasibl e equilibrium points are determined. The stability analysis of them are investigated. By employ ing the time delay as the bifurcation parame...
متن کاملA Simple Predator-Prey Population Model with Rich Dynamics
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...
متن کاملthe lotka-volterra predator-prey equations
one may find out the application of mathematics in the areas of ecology, biology, environmental sciences etc. mathematics is particulary used in the problem of predator-prey known as lotka-volterra predator-prey equations. indeed, differential equations is employed very much in many areas of other sciences. however, most of natural problems involve some unknown functions...
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 ...
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ژورنال
عنوان ژورنال: Acta Universitaria
سال: 2013
ISSN: 2007-9621,0188-6266
DOI: 10.15174/au.2013.590