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Global Stability of a Delayed Eco-Epidemiological Model with Holling Type III Functional Response

  • 2018
  • OriginalPaper
  • Chapter
Published in:
Authors
Hongfang Bai
Rui Xu
Published in
Operations Research and Optimization
Publisher
Springer Singapore

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Abstract

In this paper, we consider an eco-epidemiological model with Holling type III functional response and a time delay representing the gestation period of the predator. In the model, it is assumed that the predator population suffers a transmissible disease. By means of Lyapunov functionals and Laselle’s invariance principle, sufficient conditions are obtained for the global stability of the endemic coexistence of the system.
This work was supported by the National Natural Science Foundation of China (No. 11371368) and the Natural Science Foundation of Hebei Province (No. A2014506015).

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previous chapter The General Solutions to Some Systems of Adjointable Operator Equations
next chapter Enhancing Comfort of Occupants in Energy Buildings
Title
Global Stability of a Delayed Eco-Epidemiological Model with Holling Type III Functional Response
Authors
Hongfang Bai
Rui Xu
Copyright Year
2018
Publisher
Springer Singapore
Book
Operations Research and Optimization

Print ISBN: 978-981-10-7813-2

Electronic ISBN: 978-981-10-7814-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-981-10-7814-9_9
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