![]() Hence, it is worth investigating the influence of an infectious disease in the predator-prey interaction in the presence of predator hunting cooperation, which is going to be the principal subject of this research. Until now, there have been a few works that study such a behavior in the predator-prey interaction, we mention as an example the works of. The mathematical modeling of this specific behavior of predator was modeled for the first time in, where a simple model was used for describing such a cooperation. For example, lions, hyenas, and wild dogs are known for the high-efficiency rate in hunting. This method is very useful in reducing the hunting fail rate. One of the most effective strategies is the predator hunting cooperation, where many predators gather to hunt a single prey. On the other hand, there are many strategies that the predators can consider for achieving a successful hunt. For instance, please refer to the papers. In the literature, many works have investigated the predator-prey interaction in the presence of infectious diseases. This infection can affect the strength of some predators and the efficiency of hunting, which puts some predators in danger of extinction. The ecological species are most sensitive to any infection that appears, which can influence the evolution of some species, as an epitome. ![]() Nowadays scientists use this tool for revealing the outcome of a certain strategy taken by some governments in dealing with some species, which can be considered as an important tool for conserving all the species existing nowadays. It started from Lotka and Volterra models, where their usefulness in avoiding many worst scenarios for numerous species as extinction was proved. Mathematical models for predicting the evolution of species have been used in an increasing way in the last few decades. In a worse scenario, some species may even become extinct due to some deadly diseases developed in some highly sensible populations. In some cases, they may affect the population balance of many species in the environment. On the other hand, there are serious cases that may cause death. It is possible to have an infection that causes mild symptoms, and therefore it does not need to be treated. ![]() These infections have many symptoms on the body, including high body temperature and pain, in addition to other symptoms that differ according to the site of infection, type, and severity of the infection. These bodies are transmitted through infection from another human being, animals, contaminated food, or from exposure to any of the environmental factors that are contaminated with any of these bodies. These foreign bodies are germs, viruses, fungi, or parasites. Infectious diseases arise when contaminated foreign bodies enter the human body. This technique enables us to approximate other related models including fractional-derivative operators with high accuracy and efficiency. The graphical representation of the mathematical results is provided through a precise numerical scheme. Many scenarios are obtained, which implies the richness of the suggested model and the importance of this study. The influence of this infection measured by the transmission rate on the evolution of predator-prey interaction is determined. Moreover, the stability of equilibrium points is studied. In this model, we then shift the role of standard derivatives to fractional-order derivatives to take advantage of the valuable benefits of this class of derivatives. This situation occurs when a pair or group of animals coordinate their activities as part of their hunting behavior in order to improve their chances of making a kill and feeding. Indeed, it is considered that the predators have a cooperative hunting. Also, we assume that there is a non-fatal infectious disease developed in the prey population. ![]() A computational predator-prey model of fractional order is considered. In this research, we discuss the influence of an infectious disease in the evolution of ecological species.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |