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Tham khảo tài liệu 'nonlinear dynamics part 12', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 268 Nonlinear Dynamics imitation and thus cooperativity upon encountering a susceptible individual a suicidal one can either switch to the susceptible state with a certain probability p2 or induce a suicidal trend to the susceptible partner with another probability p1. The corresponding probabilities p1 and p2 are expected to fulfill the inequality p1 p2. Although there seems to be no direct statistical evidence in support of this we argue that in the absence of medical treatment such a property reflects the well-established tendency of susceptible and suicidal individuals to evolve uphill in the search of increasingly dramatic experiences rather than to evacuate stress and evolve to the opposite way toward normality. We refer to Pommereau 2001 for the definition of susceptible individuals. In fact adolescents with mental dysfunction express affective immaturity sensibility to frustrations massive dependence to genitors depressivity of the mood without depressive episode and tendency to acting out. These susceptible adolescents refer to the most deviant repairs including suicidality. We emphasize that p1 p2 are intrinsic parameters associated to individual 1-2 encounters independent of the respective sizes of the populations X1 and X2. Depending on the latter the overall process of contagion will of course become accentuated as seen below. It should also be noticed that in writing scheme 2 we tacitly assumed that individuals of the type 1 and 2 can only exist in a single state. In a more refined analysis one could account for further differentiation within a single subpopulation like e.g. different degrees of susceptibility in individuals of type 2. Other refinements would be to account for memory effects and for changes in the parameters N pi p2 arising for instance from medical care environmental stimuli or population renewal. Such extensions are likely to be important on a long time scale. They are not carried out here as our main purpose is to identify the role