TAILIEUCHUNG - Báo cáo hóa học: " Research Article On the Existence of Equilibrium Points, Boundedness, Oscillating Behavior and Positivity of a SVEIRS Epidemic Model under Constant and Impulsive Vaccination"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On the Existence of Equilibrium Points, Boundedness, Oscillating Behavior and Positivity of a SVEIRS Epidemic Model under Constant and Impulsive Vaccination | Hindawi Publishing Corporation Advances in Difference Equations Volume 2011 Article ID 748608 32 pages doi 2011 748608 Research Article On the Existence of Equilibrium Points Boundedness Oscillating Behavior and Positivity of a SVEIRS Epidemic Model under Constant and Impulsive Vaccination M. De la Sen 1 2 Ravi P. Agarwal 3 4 A. Ibeas 5 and S. Alonso-Quesada1 2 1 Institute of Research and Development of Processes Faculty of Science and Technology University of the Basque Country . Box 644 48080 Bilbao Spain 2 Department of Electricity and Electronics Faculty of Science and Technology University of the Basque Country . Box 644 48080 Bilbao Spain 3 Department of Mathematical Sciences Florida Institute of Technology Melbourne FL 32901 USA 4 Mathematics and Statistics Department KingFahd University of Petroleum and Minerals Dhahran 31261 Saudi Arabia 5 Department of Telecommunications and Systems Engineering Universitat Autonoma de Barcelona 08193 Bellaterra Barcelona Spain Correspondence should be addressed to M. De la Sen Received 17 January 2011 Accepted 23 February 2011 Academic Editor Claudio Cuevas Copyright 2011 M. De la Sen et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. This paper discusses the disease-free and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well as the boundedness of the total and partial populations. The model takes also into consideration the natural population growing and the mortality associated to the disease as well as the lost of immunity of newborns. It is assumed that there are two finite delays affecting the susceptible recovered exposed and infected population dynamics. Some extensions are given for the

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