Investigation of the generalized Hutchinson equation. (Russian. English summary) Zbl 0628.92023
A differential-delay equation, known as the generalized Hutchinson equation, is studied. A function, characterising the age structure of population, is taken as a sum of the continuous function and a linear combination of delta-functions. Linear analysis and numerical investigation of the equation are given. The results of the numerical investigation are compared with those of some mammal populations.
MSC:
92D25 | Population dynamics (general) |
65L99 | Numerical methods for ordinary differential equations |
34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |