*Correspondence: [email protected] 1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China Full list of author information is available at the end of the article Abstract In this work, a prey-predator model with both state-dependent impulsive harvesting and constant rate harvesting is investigated, where the replenishment rate of prey and ...

We present a general approach to study optimal rotation policy with amenity valuation under stochastic forest stand value. We state a set of weak conditions under which a unique optimal harvesting threshold exists and derive the value of the optimal policy. We characterize the impact of forest stand value volatility on both the total and the marginal expected cumulative present value of the rev...

Since groundwater is diminishing rapidly in rural Beijing, rainwater harvesting for irrigation is being promoted. As the cost of pumping up groundwater is low, farmers have few incentives to use rainwater. To promote the consumption of rainwater, the Beijing Water Authority may in the future raise the cost of using groundwater by introducing a charge. Higher cost of groundwater will increase th...

In this paper, we propose a fishery model with a discontinuous on–off harvesting policy, based on a very simple and well known rule: stop fishing when the resource is too scarce, i.e. whenever fish biomass is lower than a given threshold. The dynamics of the one-dimensional continuous time model, represented by a discontinuous piecewise-smooth ordinary differential equation, converges to the Sc...

In this work, we propose and analyze a model of Phytoplankton-Zooplankton interaction with harvesting considering that some species are exploited commercially for food. Criteria for local stability, instability and global stability are derived and some threshold harvesting levels are explored to maintain the population at an appropriate equilibrium level even if the species are exploited contin...

In this paper, we establish a mathematical model of two species with stage structure and the relation of predator±prey, to obtain the necessary and sucient condition for the permanence of two species and the extinction of one species or two species. We also obtain the optimal harvesting policy and the threshold of the harvesting for sustainable development. Ó 2000 Elsevier Science Inc. All rig...

Fluctuations in population size are in many cases undesirable, as they can induce outbreaks and extinctions or impede the optimal management of populations. We propose the strategy of adaptive threshold harvesting (ATH) to control fluctuations in population size. In this strategy, the population is harvested whenever population size has grown beyond a certain proportion in comparison to the pre...

The paper uses both the single rotation and ongoing rotation framework to study the impact of yield tax, lump-sum tax, cash flow tax and tax on interest rate earnings on the privately optimal rotation period when forest value growth is stochastic and forest owners are either risk neutral or risk averse. In the case of risk-neutral forest owner higher yield tax raises the optimal harvesting thre...