Mathematical Methods in the Applied Sciences

Volume 38, Issue 8 pp. 1623-1630

Research Article

Bifurcation and stability of solutions to a logistic equation with harvesting

Hongbin Chen,

Hongbin Chen

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, China

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Hui Xing,

Corresponding Author

Hui Xing

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, China

Correspondence to: Hui Xing, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, China.

E-mail: [email protected]

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Xibing He,

Xibing He

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, China

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Hongbin Chen,

Hongbin Chen

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, China

Search for more papers by this author

Hui Xing,

Corresponding Author

Hui Xing

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, China

Correspondence to: Hui Xing, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, China.

E-mail: [email protected]

Search for more papers by this author

Xibing He,

Xibing He

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, China

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First published: 08 May 2014

https://doi.org/10.1002/mma.3173

Citations: 1

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Abstract

In this paper, we study the global structure of the positive solutions to a logistic equation with constant yield harvesting under Neumann boundary value conditions. Moreover, we show that the logistic equation with the variable coefficients has exactly either zero, or one, or two solutions depending on the harvesting parameter. Copyright © 2014 John Wiley & Sons, Ltd.

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Volume38, Issue8

30 May 2015

Pages 1623-1630

Bifurcation and stability of solutions to a logistic equation with harvesting

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Bifurcation and stability of solutions to a logistic equation with harvesting

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