OSCILLATIONS IN DELAY DIFFERENTIAL EQUATION MODEL OF REPRODUCTIVE HORMONES IN MEN WITH COMPUTER SIMULATIONS
1994 ◽
Vol 02
(01)
◽
pp. 73-90
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Keyword(s):
We produce here a delay model to explain the control of testosterone secretion. We have modified our earlier model by incorporating one negative feedback function which explains the inhibition of the pituitary secretion of the hormone LH (Luteinizing hormone) by the local testosterone concentration. We have derived the conditions for local asymptotic stability and switching to instability of the steady state. The length of the delay preserving the stability has also been derived. Lastly the conditions for instability and bifurcation results have been derived for the linearized model. Phase portraits of the original nonlinear model showing stable limit cycle have been simulated.
2020 ◽
Vol 2
(1)
◽
pp. 27-31
1988 ◽
Vol 416
(1851)
◽
pp. 391-402
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2016 ◽
Vol 28
(2)
◽
pp. 163-177
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2020 ◽
Vol 2020
◽
pp. 1-12
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Keyword(s):
2006 ◽
Vol 2006
◽
pp. 1-28
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Keyword(s):
Keyword(s):