Optimal harvesting policy for the Beverton--Holt model
نویسندگان
چکیده
منابع مشابه
An Evolutionary Beverton-Holt Model
The classic Beverton-Holt (discrete logistic) difference equation, which arises in population dynamics, has a globally asymptotically stable equilibrium (for positive initial conditions) if its coefficients are constants. If the coefficients change in time, then the equation becomes nonautonomous and the asymptotic dynamicsmight not be as simple. One reason the coefficients can change in time i...
متن کاملThe Sigmoid Beverton-Holt Model Revisited
We will be examining the Sigmoid Beverton-Holt difference equation. It has been shown that when the Sigmoid Beverton-Holt has a p-periodically-varying growth rate, there exists a p-periodic globally asymptotically stable solution {xn}. In this paper we extend this result to include a more general class of Sigmoid Beverton-Holt functions. Furthermore, we consider the case in which the variables ...
متن کاملThe Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment
We investigate the effect of constant and periodic harvesting on the Beverton-Holt model in a periodically fluctuating environment. We show that in a periodically fluctuating environment, periodic harvesting gives a better maximum sustainable yield compared to constant harvesting. However, if one can also fix the environment, then constant harvesting in a constant environment can be a better op...
متن کاملThe Stochastic Beverton-Holt Equation and the
In the Beverton Holt difference equation of population biology with intrinsic growth parameter above its critical value, any initial non-zero population will approach an asymptotically stable fixed point, the carrying capacity of the environment. When this carrying capacity is allowed to vary periodically it is known that there is a globally asymptotically stable periodic solution and the avera...
متن کاملThe Beverton–Holt q-difference equation
The Beverton-Holt model is a classical population model which has been considered in the literature for the discrete-time case. Its continuous-time analogue is the well-known logistic model. In this paper, we consider a quantum calculus analogue of the Beverton-Holt equation. We use a recently introduced concept of periodic functions in quantum calculus in order to study the existence of period...
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ژورنال
عنوان ژورنال: Mathematical Biosciences and Engineering
سال: 2016
ISSN: 1551-0018
DOI: 10.3934/mbe.2016014