Construction of Dulac functions for mathematical models in population biology

Osvaldo Osuna; Cruz Vargas-De-Leon

doi:10.1142/S1793524515500357

Construction of Dulac functions for mathematical models in population biology

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

Abstract

In this paper, we present a method for constructing a Dulac function for mathematical models in population biology, in the form of systems of ordinary differential equations in the plane.

Original language	English
Article number	1550035
Journal	International Journal of Biomathematics
Volume	8
Issue number	3
DOIs	https://doi.org/10.1142/S1793524515500357
State	Published - 12 May 2015
Externally published	Yes

Keywords

Dulac function
Population models
chemostat models
epidemic models
non-existence of periodic orbits

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10.1142/S1793524515500357

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title = "Construction of Dulac functions for mathematical models in population biology",

abstract = "In this paper, we present a method for constructing a Dulac function for mathematical models in population biology, in the form of systems of ordinary differential equations in the plane.",

keywords = "Dulac function, Population models, chemostat models, epidemic models, non-existence of periodic orbits",

author = "Osvaldo Osuna and Cruz Vargas-De-Leon",

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KW - non-existence of periodic orbits

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JO - International Journal of Biomathematics

JF - International Journal of Biomathematics

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Construction of Dulac functions for mathematical models in population biology

Abstract

Keywords

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