This study deals with the singularly perturbed initial value problems for a quasilinear first-order delay differential equation. A quasilinearization technique for the appropriate delay differential problem theoretically and experimentally analyzed. The parameter uniform convergence is confirmed by numerical computations.

This paper, we show the stability of non-monotone critical waves by a anti-weighted method for a kind of non-monotone time-delayed reaction-diffusion equations including Nicholson's blowflies equation which describes the population dynamics of a single species with age structure.

In the present paper, using principle of differential subordination, we investigate some interesting properties of certain subclasses of \(p\)-valent functions which are defined by linear operator involving the generalized hypergeometric functions.

In this article, we implemented homotopy transform methods, namely, homotopy analysis transform method and homotopy perturbation Sumudu transform method to examine the fractional model for HIV infection of \(CD4^{+} T\) lymphocyte cells. Proliferation of \(CD4^{+} T\) lymphocyte cells is driven by a combination of the homeostatic response to cells depletion (\(CD4^{+} T\) cells counts) and viral load (HIV levels). The attraction of both the methods is that an approach of HPSTM is used and on other hand by HATM a large admissible convergence range of series solution is described for standard as well as fractional order nonlinear problems.

The behavior of multithreaded system's runtime is often more complex than the behavior of a single threaded system because of parallel execution and interactions between multiple threads. Hence, understanding the behavior of this system is primordial. Unfortunately, in real world, the source code of such systems is often missing or having an outdated documentation. An effective recognition technique to understand them is reverse engineering. In this paper, we present an ongoing work on extracting UML diagram models from object-oriented programming languages. We propose a dynamic analysis approach for the reverse engineering of UML sequence diagram of multithreaded systems. Our method based on petri nets shows that this approach can produce UML sequence diagram in reasonable time and suggests that these diagrams are helpful to understand the behavior of the underlying systems.