Dynamics of Intra-guild Predation Model with Stage Structure in Prey
نویسندگان
چکیده
The Intra-guild predation model is an interaction between three species where two of them compete and prey on each other for the same resource. This study considers stage structure combines Beddington-DeAngelis Holling type I as functional responses in model. Furthermore, equilibrium point stability will be analyzed. numerical result at shows that solution converging toward so population stable not become extinct with increasing time. In addition, tends to when density larger than predator.
منابع مشابه
The 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 کاملThe dynamics of the schoener-polis-holt model of intra-guild predation.
Intraguild predation occurs when one species (the intraguild predator) predates on and competes with another species (the intraguild prey). A classic model of this interaction was introduced by Gary Polis and Robert Holt building on a model of competing species by Thomas Schoener. A global analysis reveals that this model exhibits generically six dynamics: extinction of one or both species; coe...
متن کاملDynamics of an eco-epidemic model with stage structure for predator
The predator-prey model with stage structure for predator is generalized in the context of ecoepidemiology, where the prey population is infected by a microparasite and the predator completely avoids consuming the infected prey. The intraspecific competition of infected prey is considered. All the equilibria are characterized and the existence of a Hopf bifurcation at the coexistence equilibriu...
متن کاملGlobal Dynamics of a Predator-prey Model with Stage Structure for Predator
The global properties of a predator-prey model with stage structure for predator are studied using Lyapunov functionals and LaSalle’s invariance principle. It is found that, under hypotheses which insure the uniform persistence of the system and the existence of a unique positive steady state, a feasible a-priori lower bound condition on the abundance of the prey population ensures the global a...
متن کاملGlobal Dynamics of a Predator-Prey Model with Stage Structure for the Predator
The global properties of a predator-prey model with nonlinear functional response and stage structure for the predator are studied using Lyapunov functions and LaSalle’s invariance principle. It is found that, under hypotheses which ensure the uniform persistence of the system and the existence of a unique positive steady state, a feasible a priori lower bound condition on the abundance of the ...
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: Jurnal Matematika Statistik dan Komputasi
سال: 2021
ISSN: ['2614-8811', '1858-1382']
DOI: https://doi.org/10.20956/j.v18i1.14362