## Deterministic mathematical models in population ecologySingle-species growth; Pedration and parasitism; Predador-prey systems; Lotka-volterra systems for predator-prey interactions; Intermediate predator-prey models; Continous models; Discrete models; The kolmogorov model; Related topics and applications; Related topics; Aplications; competition and cooperation (symbiosis); Lotka-volterra competition models; Higher-oder competition models; cooperation (symbiosis); Pertubation theory; The implicit function theorem; Existence and Uniqueness of solutions of ordinary differential equations; Stability and periodicity; The poincare-bendixon theorem; The hopf bifurcation theorem. |

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### Contents

INTRODUCTION | 1 |

Predation and Parasitism | 20 |

PREDATORPREY SYSTEMS | 31 |

Copyright | |

12 other sections not shown

### Common terms and phrases

Amer analysis analyze antigen Appl assumed assumptions asymptotically stable attractor block axes Biol biological Biosci carrying capacity Chap coexistence competing species competition models competitive exclusion principle compute consider constant derivatives differential equations discussed Ecol Ecology ecosystems eigenvalues entomophagous parasite environment equilibrium exists extinction functional response given Hassell Hence Hopf bifurcation theorem Huffaker hyperbolic immune response implicit function theorem interaction interior equilibrium isoclines Kolmogorov Kolmogorov-type model Levin Liapunov function limit cycle linear Lotka-Volterra model Lotka-Volterra system Math mathematical model nonlinear number of prey periodic orbit periodic solutions perturbed pest phase plane population models positive predation curve predator predator or parasite predator-prey models predator-prey systems preprint prey or hosts prey-predator quadrant Rosenzweig SIAM small-amplitude solutions initiating solved specific growth rate stability stable limit cycle stochastic sufficiently small Suppose Theor tion unstable utilized variational matrix Volterra x-y plane xg(x zero zone