A stochastic model with random change point for the study of oviposition tactics of weevils on beans

Mitchell (1975) experimentally investigated the oviposition behavior of bruchid beetles on mung beans. Janardan (1980) developed a stochastic model, assuming a rate lambda until one egg is laid and a rate mu(<lambda) on a bean having already one egg. From Mitchell's data it appears that rate of laying eggs (on a bean) is influenced by a random phenomenon by which the beetle changes the rate either after one egg is laid or after two eggs are laid on the same bean. Thus here we have developed a new stochastic model incorporating this random phenomenon. Estimation of the parameters of the model and measure of fit of the model to the experimental data are also provided

On some special birth processes in biology

This paper presents some theorems on distributions associated with some special birth processes in biology