Abstract
Up to now in our study of continuous population models we have been assuming that x′(t), the growth rate of population size at time t, depends only on x(t), the population size at the same time t. However, there are situations in which the growth rate does not respond instantaneously to changes in population size. One of the first models incorporating a delay was proposed by Volterra (1926) to take into account the delay in response of a population’s death rate to changes in population density caused by an accumulation of pollutants in the past.
Keywords
- Difference Equation
- Computer Algebra System
- Positive Equilibrium
- Negative Real Part
- Integrodifferential Equation
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© 2012 Springer Science+Business Media, LLC
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Brauer, F., Castillo-Chavez, C. (2012). Continuous Single-Species Population Models with Delays. In: Mathematical Models in Population Biology and Epidemiology. Texts in Applied Mathematics, vol 40. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1686-9_3
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DOI: https://doi.org/10.1007/978-1-4614-1686-9_3
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