A Hopf's Lemma for Higher Order Differential Inequalities and Its Applications
We establish a sequential Hopf's Lemma for higher order differential inequalities in one variable and give some applications of this result.
math.CA↗
arXiv subjects
Mei Wang
Publications and source records attributed to Mei Wang.
A uniqueness result on ordinary differential equations with singular coefficients
We consider the uniqueness of solutions of ordinary differential equations where the coefficients may have singularities. We derive upper bounds on the the order of singularities of the coefficients and provide examples to illustrate the results.
math.CA↗
On the monotonicity of positive invariant harmonic functions in the unit ball
A monotonicity property of Harnack inequality is proved for positive invariant harmonic functions in the unit ball.
math.CA↗
Harvesting Fisheries Management Strategies With Modified Effort Function
In traditional harvesting model a fishing effort E is defined by the fishing intensity and does not address the inverse effect of fish abundance on the fishing effort. In this paper, based on a canonical differential equation model, we developed a new fishing effort model which relies on the density effect of fish population. We obtained new differential equations to describe certain standard Fisheries management strategies. This study concludes a control parameter(the magnitude of the effect of the fish population size on the fishing effort function E), changes not only the rate at which the population goes to equilibrium, but also the equilibrium values. To examine systematically the consequences of different harvesting strategies, we used numerical simulations and qualitative anlysis of six fishery strategies, e.g., proportional harvesting, threshold harvesting, proportional threshold harvesting, seasonal and rotational harvestinng.
math.DS↗