Search

In this manuscript, we derive and examine the analytical solution for the solid tumor invasion model of fractional order. The main aim of this work is to formulate a solid tumor invasion model using the Caputo fractional operator. Here, the model involves a system of four equations, which are solved using an approximate analytical method. We used the fixed-point theorem to describe the uniqueness and existence of the model's system of solutions and graphs to explain the results we achieved using this approach. The technique used in this manuscript is more efficient for studying the behavior of this model, and the results are accurate and converge swiftly. The current study reveals that the investigated model is time-dependent, which can be explored using the fractional-order calculus concept. [ABSTRACT FROM AUTHOR]

Two new species, Myllocerus vathalmalaensis sp. nov. and M. depressus sp. nov., are described from India. M. vathalmalaensis differs from M. lineaticollis (Boheman, 1842) in possessing a fine central carina on the impressed rostrum, the second funicle segment longer than the first one and tegmen without parameres. M. depressus differs from M. cardoni Marshall, 1916 by the dorsally depressed rostrum, which is longer than the head, a prothorax depressed and constricted near the posterior margin, the antennae and legs black in colour, the hind femora with a single spine and a spermatheca with curved nodulus. [ABSTRACT FROM AUTHOR]