The Experts below are selected from a list of 17121 Experts worldwide ranked by ideXlab platform
R Shivaji - One of the best experts on this subject based on the ideXlab platform.
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diffusive Logistic Equation with constant yield harvesting and negative density dependent emigration on the boundary
Journal of Mathematical Analysis and Applications, 2014Co-Authors: Jerome Goddard, R ShivajiAbstract:Abstract The structure of positive steady state solutions of a diffusive Logistic population model with constant yield harvesting and negative density dependent emigration on the boundary is examined. In particular, a class of nonlinear boundary conditions that depends both on the population density and the diffusion coefficient is used to model the effects of negative density dependent emigration on the boundary. Our existence results are established via the well-known sub-super solution method.
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Logistic Equation with the p laplacian and constant yield harvesting
Abstract and Applied Analysis, 2004Co-Authors: Shobha Oruganti, Junping Shi, R ShivajiAbstract:We consider the positive solutions of a quasilinear elliptic Equation with p-Laplacian, Logistic-type growth rate function, and a constant yield harvesting. We use sub-super-solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
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diffusive Logistic Equation with constant yield harvesting i steady states
Transactions of the American Mathematical Society, 2002Co-Authors: Shobha Oruganti, Junping Shi, R ShivajiAbstract:We consider a reaction-diffusion Equation which models the constant yield harvesting to a spatially heterogeneous population which satisfies a Logistic growth. We prove the existence, uniqueness and stability of the maximal steady state solutions under certain conditions, and we also classify all steady state solutions under more restricted conditions. Exact global bifurcation diagrams are obtained in the latter case. Our method is a combination of comparison arguments and bifurcation theory.
Mingxin Wang - One of the best experts on this subject based on the ideXlab platform.
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a diffusive Logistic Equation with a free boundary and sign changing coefficient in time periodic environment
Journal of Functional Analysis, 2016Co-Authors: Mingxin WangAbstract:Abstract This paper concerns a diffusive Logistic Equation with a free boundary and sign-changing intrinsic growth rate in heterogeneous time-periodic environment, in which the variable intrinsic growth rate may be “very negative” in a “suitable large region” (see conditions (H1) , (H2) , (4.3) ). Such a model can be used to describe the spreading of a new or invasive species, with the free boundary representing the expanding front. In the case of higher space dimensions with radial symmetry and when the intrinsic growth rate has a positive lower bound, this problem has been studied by Du, Guo & Peng [11] . They established a spreading–vanishing dichotomy, the sharp criteria for spreading and vanishing and estimate of the asymptotic spreading speed. In the present paper, we show that the above results are retained for our problem.
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a diffusive Logistic Equation with a free boundary and sign changing coefficient in time periodic environment
arXiv: Analysis of PDEs, 2015Co-Authors: Mingxin WangAbstract:This paper concerns a diffusive Logistic Equation with a free boundary and sign-changing intrinsic growth rate in heterogeneous time-periodic environment, in which the variable intrinsic growth rate may be "very negative" in a "suitable large region". Such a model can be used to describe the spreading of a new or invasive species, with the free boundary representing the expanding front. In the case of higher space dimensions with radial symmetry and the intrinsic growth rate has a positive lower bound, this problem has been studied by Du, Guo and Peng . They established a spreading-vanishing dichotomy, the sharp criteria for spreading and vanishing and estimate of the asymptotic spreading speed. In the present paper, we show that the above results are retained for our problem. This paper has been submitted to Journal of Functional Analysis in August 5, 2014 (JFA-14-548).
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the diffusive Logistic Equation with a free boundary and sign changing coefficient
Journal of Differential Equations, 2015Co-Authors: Mingxin WangAbstract:Abstract This short paper concerns a diffusive Logistic Equation with a free boundary and sign-changing coefficient, which is formulated to study the spread of an invasive species, where the free boundary represents the expanding front. A spreading–vanishing dichotomy is derived, namely the species either successfully spreads to the right-half-space as time t → ∞ and survives (persists) in the new environment, or it fails to establish itself and will extinct in the long run. The sharp criteria for spreading and vanishing are also obtained. When spreading happens, we estimate the asymptotic spreading speed of the free boundary.
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the diffusive Logistic Equation with a free boundary and sign changing coefficient
arXiv: Analysis of PDEs, 2014Co-Authors: Mingxin WangAbstract:This short paper concerns a diffusive Logistic Equation with the heterogeneous environment and a free boundary, which is formulated to study the spread of an invasive species, where the free boundary represents the expanding front. A spreading-vanishing dichotomy is derived, namely the species either successfully spreads to the right-half-space as time $t\to\infty$ and survives (persists) in the new environment, or it fails to establish and will extinct in the long run. The sharp criteria for spreading and vanishing is also obtained. When spreading happens, we estimate the asymptotic spreading speed of the free boundary.
Shobha Oruganti - One of the best experts on this subject based on the ideXlab platform.
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Logistic Equation with the p laplacian and constant yield harvesting
Abstract and Applied Analysis, 2004Co-Authors: Shobha Oruganti, Junping Shi, R ShivajiAbstract:We consider the positive solutions of a quasilinear elliptic Equation with p-Laplacian, Logistic-type growth rate function, and a constant yield harvesting. We use sub-super-solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
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diffusive Logistic Equation with constant yield harvesting i steady states
Transactions of the American Mathematical Society, 2002Co-Authors: Shobha Oruganti, Junping Shi, R ShivajiAbstract:We consider a reaction-diffusion Equation which models the constant yield harvesting to a spatially heterogeneous population which satisfies a Logistic growth. We prove the existence, uniqueness and stability of the maximal steady state solutions under certain conditions, and we also classify all steady state solutions under more restricted conditions. Exact global bifurcation diagrams are obtained in the latter case. Our method is a combination of comparison arguments and bifurcation theory.
Benedetta Lisena - One of the best experts on this subject based on the ideXlab platform.
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global attractivity in nonautonomous Logistic Equations with delay
Nonlinear Analysis-real World Applications, 2008Co-Authors: Benedetta LisenaAbstract:Abstract A new criterion is proposed for the global asymptotic stability of the positive periodic solutions to the following delay Logistic Equation: u ′ ( t ) = u ( t ) [ r ( t ) - a ( t ) u ( t ) - b ( t ) u ( t - τ ) ] . This result is preceded by the stability property of the zero solution to the linear Equation x ′ ( t ) = - a ( t ) x ( t ) - b ( t ) x ( t - τ ) . Previous investigations are confirmed and generalized.
Junping Shi - One of the best experts on this subject based on the ideXlab platform.
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Logistic Equation with the p laplacian and constant yield harvesting
Abstract and Applied Analysis, 2004Co-Authors: Shobha Oruganti, Junping Shi, R ShivajiAbstract:We consider the positive solutions of a quasilinear elliptic Equation with p-Laplacian, Logistic-type growth rate function, and a constant yield harvesting. We use sub-super-solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
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diffusive Logistic Equation with constant yield harvesting i steady states
Transactions of the American Mathematical Society, 2002Co-Authors: Shobha Oruganti, Junping Shi, R ShivajiAbstract:We consider a reaction-diffusion Equation which models the constant yield harvesting to a spatially heterogeneous population which satisfies a Logistic growth. We prove the existence, uniqueness and stability of the maximal steady state solutions under certain conditions, and we also classify all steady state solutions under more restricted conditions. Exact global bifurcation diagrams are obtained in the latter case. Our method is a combination of comparison arguments and bifurcation theory.
