Deterministic and Stochastic Research of Cubic Population Model with Harvesting
نویسندگان
چکیده
A detailed examination of the effect harvesting on a population has been carried out by extending standard cubic deterministic model considering under Allee with quadratic function representing harvesting. Weak and strong transitions, carrying capacity, threshold change according to is first discussed in model. Fokker Planck equation obtained starting from Langevin subject correlated Gaussian white noise zero mean, an Approximate Equation colored mean. This allowed calculate stationary probability distributions populations, thus discuss effects linear nonlinear (Holling type-II) for populations noises respectively.
منابع مشابه
Stochastic description of the deterministic Ricker ’ s population model
We adopt the ’0-1’ test for chaos using Brownian motion chains to identify the dynamics of the Ricker’s population model. In the ’0-1’ test ’0’ is related to regular motion while ’1’ is associated with chaotic motion. The identified regular and chaotic types of solutions have been confirmed by means of recurrence plots.
متن کاملCombining Deterministic and Stochastic Population Projections
Population projections are sometimes requested for the assessment of the impact of population developments in the very long run. Such a long time horizon clearly undermines whatever meaning of forecast one would like to attribute to the projections results. Despite of that, users have the tendency to consider long-term projections not as one of the plausible developments of the population under...
متن کاملDynamic behavior in a delayed stage-structured population model with stochastic fluctuation and harvesting
In this paper, the dynamic behavior of a stage-structured population model involving gestation delay is investigated within stochastically fluctuating environment and harvesting. Firstly, the stability and Hopf bifurcation condition are described on the delayed population model within deterministic environment. Secondly, the stochastic population model systems are discussed by incorporating whi...
متن کاملA stochastic model of evolutionary dynamics with deterministic large-population asymptotics.
An evolutionary birth-death process is proposed as a model of evolutionary dynamics. Agents residing in a continuous spatial environment X, play a game G, with a continuous strategy set S, against other agents in the environment. The agents' positions and strategies continuously change in response to other agents and to random effects. Agents spawn asexually at rates that depend on their curren...
متن کاملStochastic functional population dynamics with jumps
In this paper we use a class of stochastic functional Kolmogorov-type model with jumps to describe the evolutions of population dynamics. By constructing a special Lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...
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: Fluctuation and Noise Letters
سال: 2021
ISSN: ['0219-4775', '1793-6780']
DOI: https://doi.org/10.1142/s0219477521500231