scholarly journals A DELAY DIFFERENTIAL EQUATIONS MODEL FOR DISEASE TRANSMISSION DYNAMICS

2019 ◽  
Vol 27 (1) ◽  
pp. 49-71
Author(s):  
MUSTAFA ERDEM ◽  
MUNTASER SAFAN ◽  
CARLOS CASTILLO-CHAVEZ
Keyword(s):  
Hopf Bifurcation ◽  
Differential Equations ◽  
Epidemic Model ◽  
Disease Transmission ◽  
Delay Differential Equations ◽  
Waiting Times ◽  
Transmission Dynamics ◽  
Stability Switches ◽  
Existence Of Periodic Solutions ◽  
Delay Differential

A delay differential equations epidemic model of SIQR (SusceptibleInfective-Quarantined-Recovered) type, with arbitrarily distributed periods in the isolation or quarantine class, is proposed. Its essential mathematical features are analyzed. In addition, conditions that support the existence of periodic solutions via Hopf bifurcation are identified. Nonexponential waiting times in the quarantine/isolation class lead not only to oscillations but can also support stability switches.

A new Ф-generalized quasi metric space with some fixed point results and applications

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3157-3172
Author(s):  
Mujahid Abbas ◽  
Bahru Leyew ◽  
Safeer Khan
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Points ◽  
Periodic Solutions ◽  
Metric Space ◽  
Delay Differential Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Periodic Solutions ◽  
Delay Differential

In this paper, the concept of a new ?-generalized quasi metric space is introduced. A number of well-known quasi metric spaces are retrieved from ?-generalized quasi metric space. Some general fixed point theorems in a ?-generalized quasi metric spaces are proved, which generalize, modify and unify some existing fixed point theorems in the literature. We also give applications of our results to obtain fixed points for contraction mappings in the domain of words and to prove the existence of periodic solutions of delay differential equations.

scholarly journals Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations

2021 ◽  
Vol 20 (1) ◽  
pp. 333-370
Author(s):  
B. A. J. de Wolff ◽  
F. Scarabel ◽  
S. M. Verduyn Lunel ◽  
O. Diekmann
Keyword(s):  
Hopf Bifurcation ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Delay Differential

Existence of periodic solutions for a system of delay differential equations

2009 ◽  
Vol 71 (12) ◽  
pp. 6222-6231 ◽  
Author(s):  
Cheng-Hsiung Hsu ◽  
Suh-Yuh Yang ◽  
Ting-Hui Yang ◽  
Tzi-Sheng Yang
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Delay Differential Equations ◽  
Existence Of Periodic Solutions ◽  
Delay Differential
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