On the well posedness and further regularity of a diffusive three species aquatic model

R.D. Parshad; R.K. Upadhyay; N.K. Thakur

On the well posedness and further regularity of a diffusive three species aquatic model

R.D. Parshad, R.K. Upadhyay, N.K. Thakur

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

We consider Upadhay's three species aquatic food chain model, with the inclusion of spatial spread. This is a well established food chain model for the interaction of three given aquatic species. It exhibits rich dynamical behavior, including chaos. We prove the existence of a global weak solution to the diffusive system, followed by existence of local mild and strong solution.

Original language	English (US)
Journal	Applied Mathematical Sciences
State	Published - 2012

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KAUST Repository Item: Exported on 2020-10-01

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title = "On the well posedness and further regularity of a diffusive three species aquatic model",

abstract = "We consider Upadhay's three species aquatic food chain model, with the inclusion of spatial spread. This is a well established food chain model for the interaction of three given aquatic species. It exhibits rich dynamical behavior, including chaos. We prove the existence of a global weak solution to the diffusive system, followed by existence of local mild and strong solution.",

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AU - Parshad, R.D.

AU - Upadhyay, R.K.

AU - Thakur, N.K.

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2012

Y1 - 2012

N2 - We consider Upadhay's three species aquatic food chain model, with the inclusion of spatial spread. This is a well established food chain model for the interaction of three given aquatic species. It exhibits rich dynamical behavior, including chaos. We prove the existence of a global weak solution to the diffusive system, followed by existence of local mild and strong solution.

AB - We consider Upadhay's three species aquatic food chain model, with the inclusion of spatial spread. This is a well established food chain model for the interaction of three given aquatic species. It exhibits rich dynamical behavior, including chaos. We prove the existence of a global weak solution to the diffusive system, followed by existence of local mild and strong solution.

UR - http://hdl.handle.net/10754/334623

M3 - Article

SN - 1312-885X

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

ER -

On the well posedness and further regularity of a diffusive three species aquatic model

Abstract

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