An Analytical Foundation of the Ratio-Dependent Predator-Prey Model
نویسندگان
چکیده
منابع مشابه
Discretization 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 کاملThreshold harvesting policy and delayed ratio-dependent functional response predator-prey model
This paper deals with a delayed ratio-dependent functional response predator-prey model with a threshold harvesting policy. We study the equilibria of the system before and after the threshold. We show that the threshold harvesting can improve the undesirable behavior such as nonexistence of interior equilibria. The global analysis of the model as well as boundedness and permanence properties a...
متن کاملParametric analysis of the ratio-dependent predator-prey model.
We present a complete parametric analysis of stability properties and dynamic regimes of an ODE model in which the functional response is a function of the ratio of prey and predator abundances. We show the existence of eight qualitatively different types of system behaviors realized for various parameter values. In particular, there exist areas of coexistence (which may be steady or oscillatin...
متن کاملNonconstant Predator Harvesting on Ratio-Dependent Predator-Prey Models
The dynamics of a ratio-dependent predator-prey model with two different non-constant harvesting functions depending on the predator population is studied. Equilibria and periodic orbits are computed and their stability properties are analyzed. Several bifurcations are detected as well as connecting orbits. Smooth numerical continuation is performed that allows computation of branches of soluti...
متن کاملA ratio-dependent predator-prey model with disease in the prey
Ahmed [1], considered study of prey-predator model with predator in disease and harvesting. In this article, a ratio-dependent predator-prey model with disease in the prey population is formulated and analyzed. Assuming that prey populations suffered from epidemics and the predator population will prefer only infected population for their diet as those are more vulnerable. Dynamical behaviours ...
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: Journal of Bioeconomics
سال: 2006
ISSN: 1387-6996,1573-6989
DOI: 10.1007/s10818-006-0005-8