Dynamical systems in ecology, epidemiology and social sciences: from theory

to applications

Content

Preface

1 Pest management: interfacing epidemiology and ecology to achieve pest control

1.1 Key concepts

1.2 The onset of positive periodic solutions for a biochemical pest management

model

1.3 An impulsively controlled predator-pest model with disease in the pest

1.4 A pest management model with n predator species and a common prey

1.5 Integrated strategies for the control of Aedes aegypti mosquito

1.6 Periodic patterns of state dependent impulsive controls regulating interactions

between wild and transgenic mosquito populations

2 Mutualistic interactions: different species acting together and reaping benefits

2.1 Key concepts

2.2 Lyapunov functionals for two-species mutualisms

2.3 The global stability of coexisting equilibria for three models of mutualism

2.4 Global stability results for models of commensalism

2.5 Global stability of the coexistence equilibrium for a general class of models

of facultative mutualism

2.6 Threshold boundedness conditions for n-species mutualisms

3 Disease transmission: models to help finding the right measures

3.1 Preventing the spread of schistosomiasis in Ghana: possible outcomes

of integrated optimal control strategies

3.2 A model for HIV transmission with two interacting high-risk groups

4 Social interactions: quantifying the influence of peers

4.1 Key concepts

4.2 Improving undergraduate student performance and mitigating dropout

risks

4.3 Cigarette smoking on college campuses: an epidemical modelling approach