Logistic equation with thep-Laplacian and constant yield harvesting
نویسندگان
چکیده
منابع مشابه
Positive Solutions to a Diffusive Logistic Equation with Constant Yield Harvesting
We consider a reaction diffusion equation which models the constant yield harvesting of a spatially heterogeneous population which satisfies a logistic growth. In particular, we study the existence of positive solutions subject to a class of nonlinear boundary conditions. We also provide results for the case of Neumann and Robin boundary conditions. We obtain our results via a quadrature method...
متن کاملDelay differential logistic equation with harvesting
l~(t) = r(t)N(t) a bkN(hk(t)) cz(t)N(gl(t)), t >_ O, l = l N(t )=~( t ) , t<O, N(O)=No, is considered. The existence and the bounds of positive solutions are studied. Sufficient conditions for the extinction of the solution are presented. © 2005 Elsevier Ltd. All rights reserved. K e y w o r d s D e l a y logistic equations, Linear harvesting, Positive solutions, Extinction of the population, S...
متن کاملDelay Differential Logistic Equations with Harvesting
N(t) = r(t)N(t) a ~ bkN(hk(t)) cl(t)N(gl(t)), k ~ l l = l N(t)=~(t) , t O , is considered. The existence and the bounds of positive solutions are studied. Sufficient conditions for the extinction of the solution are presented. © 2004 Elsevier Ltd. All rights reserved. K e y w o r d s D e l a y logistic equations, Linear harvesting, Positive solutions, Extinction of the populatio...
متن کاملExact multiplicity of solutions to a diffusive logistic equation with harvesting
An Ambrosetti-Prodi type exact multiplicity result is proved for a diffusive logistic equation with harvesting. We show that a modified diffusive logistic mapping has exactly either zero, or one, or two pre-images depending on the harvesting rate. It implies that the original diffusive logistic equation with harvesting has at most two positive steady state solutions.
متن کاملBifurcation Analysis in a Predator-prey Model with Constant-yield Predator Harvesting
In this paper we study the effect of constant-yield predator harvesting on the dynamics of a Leslie-Gower type predator-prey model. It is shown that the model has a Bogdanov-Takens singularity (cusp case) of codimension 3 or a weak focus of multiplicity two for some parameter values, respectively. Saddle-node bifurcation, repelling and attracting Bogdanov-Takens bifurcations, supercritical and ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2004
ISSN: 1085-3375,1687-0409
DOI: 10.1155/s1085337504311097