Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting
نویسندگان
چکیده
منابع مشابه
A Density-dependent Predator-prey Model of Beddington-deangelis Type
In this article, we study the dynamics of a density-dependent predator-prey system of Beddington-DeAngelis type. We obtain sufficient and necessary conditions for the existence of a unique positive equilibrium, the global attractiveness of the boundary equilibrium, and the permanence of the system, respectively. Moreover, we derive a sufficient condition for the locally asymptotic stability of ...
متن کاملEffort Dynamics in a Selective Harvesting Prey-Predator Fishery with Beddington- DeAngelis Functional Response
In this paper, regulation of selective harvesting of a prey-predator fishery with Beddington-DeAngelis functional response [1,2] is discussed, considering taxation as a control instrument and harvesting effort as a dynamic variable. The Beddington-DeAngelis functional response is similar to the Holling type II [3] functional response but contains one extra term describing mutual interference by...
متن کاملDynamics of a Delayed Epidemic Model with Beddington-DeAngelis Incidence Rate and a Constant Infectious Period
In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...
متن کاملSpatiotemporal pattern formation of Beddington-DeAngelis-type predator-prey model
In this paper, we investigate the emergence of a predator-prey model with Beddington-DeAngelistype functional response and reaction-diffusion. We derive the conditions for Hopf and Turing bifurcation on the spatial domain. Based on the stability and bifurcation analysis, we give the spatial pattern formation via numerical simulation, i.e., the evolution process of the model near the coexistence...
متن کاملDynamics of a nonautonomous predator–prey system with the Beddington–DeAngelis functional response
In this paper, we systematically study the dynamics of a nonautonomous predator–prey system with the Beddington–DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (al...
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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2017
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2017.1.1