Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System

Joint Authors

Hui, Jing
Pang, Jian-Hua
Lin, Dong-Rong

Source

Mathematical Problems in Engineering

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-08-28

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Civil Engineering

Abstract EN

We consider an epidemic-species hybrid dynamical system.

The disease is spread among the prey only and the infected prey can reproduce virus.

The predator only eats the infected prey.

Mathematical analyses are given for the system with regard to the existence ofequilibria, local stability, Hopf bifurcation, and the orbital stability of the Hopf bifurcating limit cycle.

We further analyse the system under impulsive releasing of virus and predator.

American Psychological Association (APA)

Hui, Jing& Pang, Jian-Hua& Lin, Dong-Rong. 2014. Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1046483

Modern Language Association (MLA)

Hui, Jing…[et al.]. Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1046483

American Medical Association (AMA)

Hui, Jing& Pang, Jian-Hua& Lin, Dong-Rong. Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1046483

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1046483