TY  - JOUR
T1  - Stability of a Population in a Model with Delayed Environmental Response
AU - Safuan, H.M. AU - Saifuddin, R. AU - Jovanoski, Z. AU - Sidhu, H.S. AU - Towers, I.N. 
JO  - Journal of Engineering and Applied Sciences
VL  - 12
IS  - 9
SP  - 2299
EP  - 2303
PY  - 2017
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2017.2299.2303
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2017.2299.2303
KW  - Carrying capacity
KW  -delay differential equation
KW  -logistic equation
KW  -predator-prey model
KW  -fluctuation
AB  - We present a theoretical analysis of the temporal variation of a population subject to a variable
environment. This is achieved by treating the carrying capacity, a proxy for the environment as a state-variable.
This enables us to describe the population and environment interaction via a set of nonlinear coupled
differential equations. Importantly, we discuss the effect of a delay in the environmental response to changes
in population density. The existence of a Hopf bifurcation is established as well as the minimum time delay
required for the onset of sustained periodic fluctuations in the population. Finally, we discuss the ecological
management implications imputed by the model.
ER  -