A general predator-prey model with combined growth terms

Presenter Status

Professor of Mathematics

Second Presenter Status

Undergraduate Student of Mathematics

Preferred Session

Poster Session

Start Date

20-10-2023 2:00 PM

End Date

20-10-2023 3:00 PM

Presentation Abstract

The purpose of this research is to give sufficient conditions for the existence and uniqueness of positive solutions to a rather general type of elliptic system of the Dirichlet problem on a bounded domain. Also considered are the effects of perturbations on the coexistence state and uniqueness. These results yield an algebraically computable criterion for the positive coexistence of species of animals with predator-prey relation in many biological models.

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Oct 20th, 2:00 PM Oct 20th, 3:00 PM

A general predator-prey model with combined growth terms

The purpose of this research is to give sufficient conditions for the existence and uniqueness of positive solutions to a rather general type of elliptic system of the Dirichlet problem on a bounded domain. Also considered are the effects of perturbations on the coexistence state and uniqueness. These results yield an algebraically computable criterion for the positive coexistence of species of animals with predator-prey relation in many biological models.