Forthcoming Articles

International Journal of Dynamical Systems and Differential Equations

International Journal of Dynamical Systems and Differential Equations (IJDSDE)

Forthcoming articles have been peer-reviewed and accepted for publication but are pending final changes, are not yet published and may not appear here in their final order of publication until they are assigned to issues. Therefore, the content conforms to our standards but the presentation (e.g. typesetting and proof-reading) is not necessarily up to the Inderscience standard. Additionally, titles, authors, abstracts and keywords may change before publication. Articles will not be published until the final proofs are validated by their authors.

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International Journal of Dynamical Systems and Differential Equations (2 papers in press)

Regular Issues

  • Sub-supersolutions method for singular quasilinear systems involving gradient terms   Order a copy of this article
    by Abdelkrim Moussaoui 
    Abstract: Existence, regularity and location of solutions to quasilinear singular elliptic systems with general gradient dependence are established developing a method of sub-supersolution. The abstract theorems involving sub-supersolutions are applied to prove the existence of positive solutions for convective and absorption singular systems
    Keywords: $p$-laplacian; singular systems; gradient estimate; regularity; convection; absorption; fixed point.
    DOI: 10.1504/IJDSDE.2026.10078837
     
  • Dynamic analysis of an eco-epidemiological predator-prey model with fear and harvesting effects   Order a copy of this article
    by M. Varalaxmi, Md Golam Mortuja, Dipesh Dalal 
    Abstract: Model formation and the analysis of ecological systems are extremely important when using differential equations in population models. In this study, we propose and analyze a novel eco-epidemiological predator-prey model that integrates fear-induced behavioural responses, nonlinear predator harvesting, and disease transmission within the prey population. We establish the well-posedness of the system by proving positivity and boundedness of solutions. A complete qualitative analysis is carried out, including the existence and local stability of all biologically relevant equilibria. In particular, we derive explicit conditions under which predator harvesting induces a Hopf bifurcation. Numerical simulations are performed to validate the analytical findings. The results reveal that both excessive and insufficient harvesting can destabilise the system, potentially triggering population cycles or leading to extinction. Our findings provide new insights into how fear and harvesting jointly shape population dynamics and disease persistence, offering useful implications for ecological management.
    Keywords: Eco-epidemiology; Fear Effect; Harvesting; Stability; Hopf Bifurcation.
    DOI: 10.1504/IJDSDE.2026.10079959
     

 

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