A predator prey model with age structure.

作者: Jim M Cushing , Mohamed Saleem

DOI: 10.1007/BF01832847

关键词:

摘要: … We will derive our model equations from the general theory of age structured populations … involving age specific fecundity that fi is taken to have jump discontinuities, in particular at a -- …

参考文章(23)
JE Marsden, M McCracken, G Oster, J Guckenheimer, Bifurcation Phenomena in Population Models The Hopf Bifurcation and Its Applications. pp. 327- 353 ,(1976) , 10.1007/978-1-4612-6374-6_23
Earle Raymond Hedrick Otto Dun Goursat, A Course in Mathematical Analysis ,(1904)
J.M. Cushing, Model stability and instability in age structured populations Journal of Theoretical Biology. ,vol. 86, pp. 709- 730 ,(1980) , 10.1016/0022-5193(80)90307-0
Chris Rorres, Stability of an age specific population with density dependent fertility Theoretical Population Biology. ,vol. 10, pp. 26- 46 ,(1976) , 10.1016/0040-5809(76)90004-6
J. M. Cushing, An Operator Equation and Bounded Solutions of Integro-Differential Systems SIAM Journal on Mathematical Analysis. ,vol. 6, pp. 433- 445 ,(1975) , 10.1137/0506038
Morton E. Gurtin, Richard C. Maccamy, Non-linear age-dependent population dynamics Archive for Rational Mechanics and Analysis. ,vol. 54, pp. 281- 300 ,(1974) , 10.1007/BF00250793
J.M. Cushing, Stability and instability in predator-prey models with growth rate response delays Rocky Mountain Journal of Mathematics. ,vol. 9, pp. 43- 50 ,(1979) , 10.1216/RMJ-1979-9-1-43