## ESR position in mathematical biology

Open position Více → |

## Defector intolerance promotes cooperation

One of the outstanding questions for biologists and social scientists has been the evolution of cooperation. Cooperation is observed both among humans as well as among animals. The question is “How cooperation can evolve”? This was an intriguing question since Darwin’s Origin of species was published. The problem is that the basic tenet of evolution […] Více → |

## Conflict, Competition, Cooperation and Complexity: Using Evolutionary Game Theory to model realistic populations

Conflict, Competition, Cooperation and Complexity: Using Evolutionary Game Theory to model realistic populations Více → |

## Cancer modelling

Integrated Mathematical Oncology a part of Moffitt Cancer Center at Tampa focuses on various aspects of cancer modeling including adaptive cancer therapies that are currently clinically tested. These approaches that are based on a novel approach that considers cancer as an evolutionary disease, show usefulness of game theoretical models in clinical trials. IMO runs its […] Více → |

## Adaptive growth of bacteria on two substrates

In Krivan (2006) bacterial growth on a mixture of two sugars is modeled. It is well know that in mixed substrates with glucose and lactose bacteria often utilize glucose first and then switch to lactose (or to some alternate source of energy). At the molecular level this switch is known as the lac operon. In […] Více → |

## The Lotka-Volterra predator-prey game

The Lotka-Volterra predator-prey model is one of the earliest and, perhaps, the best known example used to explain why predators can indefinitely coexist with their prey. The population cycles resulting from this model are well known. In this article I show how adaptive behavior of prey and predators can destroy these cycles and stabilize population […] Více → |

## Habitat selection game

The habitat selection game is a game theoretical concept that describes species distribution in22 heterogeneous environments. For a single population, Fretwell and Lucas (1970) defined the Ideal Free Distribution (IFD) in patchy environments, under which animal payoffs in all occupied patches are the same and maximal. Thus, the IFD is a Nash equilibrium of a […] Více → |

## Optimal foraging game

Optimal foraging theory (MacArthur and Pianka, 1966; Charnov, 1976; Stephens and Krebs, 1986) assumes that organisms forage in such a way as to maximize their fitness measured as energy intake rate. These models assume a homogeneous environment with several resource types that a consumer encounters sequentially, and predict the optimal consumer diet. This line of […] Více → |

## Consistency of host reproduction and infection transmission in sexually transmitted diseases

Classic models of infection dynamics describe host reproduction independently of infection transmission. This is fine for air-borne or vector-borne infections, and also for sexually transmitted diseases in humans, where only a negligible proportion of sexual intercourses results in reproduction. However, it can be an important omission in case of sexually transmitted diseases in many animals […] Více → |

## Talk: Why would Darwin love game theory?

Evolutionary game theory was developed as mathematical description of Darwin theory. The talk guides you through basic concepts of evolutionary game theory (the Nash Equilibrium, Evolutionarily Stable Strategy). Using classical models i.e., the Hawk-Dove, the Prisoner’s dilemma, I will explain evolution of aggressivity and evolution of cooperation. Pozvánka na přednášku Více → |

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