Estimating the Stability of a Delayed SIQRS Model with Temporary Immunity | Chapter 13 | Theory and Practice of Mathematics and Computer Science Vol. 2

 

A time-delayed SIQRS model with a linear incidence rate is discussed in this paper. Immunity obtained by enduring the disease is temporary; individuals can return to the susceptible class after a specified period of time when they are infected. Second, it analyses the local and global stability of the infection-free balance, respectively. Second , in terms of the occurrence rate and locally asymptotic stability, the endemic equilibrium is formulated. Finally, the Adomian method of decomposition is extended to the epidemiological scheme. In terms of convergent infinite power series, this approach yields an empirical solution.

Author (s) Details

Laid Chahrazed
Department of Mathematics, Faculty of Exact Sciences, University Freres Mentouri, Constantine 1, Algeria.

Rahmani Fouad lazhar
Department of Mathematics, Faculty of Exact Sciences, University Freres Mentouri, Constantine 1, Algeria.

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Ammensalism Model with Distributed Type Delay | Chapter 4 | Recent Studies in Mathematics and Computer Science Vol. 3

 

We describe a mathematical model for the interaction between three species ecological model consists of first
(N1), second (N2) and third species (N3). The first species is preying on second, second species is ammensal on
the third. Distributed type delay is included in the interaction of first and second species. The system is
explained by couple of integro differential equations. The co-existing state is identified and also characterizes
the local, global stability analysis at this state. We provide a numerical simulation in support of stability analysis
using MATLAB and shown that the system is asymptotically stable.

Author(s) Details
Mrs. G. A. L. Satyavathi
Jawaharlal Nehru Technological University (JNTU), Kakinada, A.P., India.

Dr. A. V. Paparao
Department of Mathematics, Jawaharlal Nehru Technological University (JNTU), UCE, Vizianagaram, A.P., India.

Dr. K. Sobhan Babu
Department of Mathematics, Jawaharlal Nehru Technological University (JNTU), UCE, Narasaraopet, A.P., India.

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