Mathematical methods of population biology

Cover......Page 1
Frontmatter......Page 2
Contents......Page 6
Preface......Page 8
1.1 Iteration and parameter estimation......Page 10
1.2 Synchronization of populations......Page 18
1.3 Exploitation of biological populations: fisheries......Page 25
Appendix: Least-squares approximation......Page 37
2.1 Fibonacci sequence......Page 40
2.2 Renewal equation......Page 46
2.3 Reproduction matrix: honest matrices......Page 49
2.4 Population waves: dishonest matrices......Page 52
3.1 Bacterial genetics......Page 56
3.2 Human genetics: Mendelian traits in diploid organisms......Page 69
3.3 Contagion......Page 78
3.4 Summary......Page 81
4.1 Approximations to dynamic processes: multiple-time-scale methods......Page 84
4.2 Static states: bifurcation methods......Page 91
5.1 Integer dispersal......Page 101
5.2 Diffusion approximations......Page 104
5.3 Transform methods: linear stability theory for diffusion equations......Page 106
5.4 Pattern formation......Page 110
5.5 Wave propagation: dynamic patterns......Page 123
Appendix: Derivation of the diffusion approximation......Page 137
Solutions to selected exercises......Page 144
References......Page 151
Author index......Page 154
Subject index......Page 156