Transitive maps in bitopological dynamical systems

This paper introduces fundamental ideas of bitopological dynamical systems. Here, notions transitivity, point pairwise iterated compactness, weakly etc. are introduced. Later, it is shown that under homeomorphism, transitivity implies transitivity. Moreover, homeomorphism; compactness and found to be equivalent. we apply our results in the development process a human embryo from zygote until birth. During biological application, disprove conjecture 1 Nada Zohny [S. I. Nada, H. Zohny, An application relative topology biology. Chaos, Solitons Fractals, 42 (2009) 202-204].